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JEE Main Limit Continuity and Differentiability Practice Paper FREE PDF Download

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Last updated date: 24th Jul 2024
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Limit Continuity and Differentiability Practice Paper with Solutions and Answer Key For JEE Main

Understanding the role of Limit Continuity and Differentiability Practice Paper is essential for JEE Main students, as it focuses on applying key mathematical concepts that involve limits, continuity, and differentiability, crucial for solving complex problems in calculus and mathematical analysis.


Category:

JEE Main Practice Paper

Content-Type:

Text, Images, Videos and PDF

Exam:

JEE Main

Chapter Name:

Limit Continuity and Differentiability

Academic Session:

2025

Medium:

English Medium

Subject:

Mathematics

Available Material:

Chapter-wise Practice paper with PDF


Vedantu understands the major role of the Limit Continuity and Differentiability in Practice Papers in JEE Main Maths preparation and offers a FREE PDF download for students. This invaluable resource is meticulously prepared for chapter-wise practice, guaranteeing a comprehensive understanding of essential topics. By taking this opportunity at no expense, you can expand your knowledge and bolster your confidence in approaching questions with precision. Detailed solutions and answer keys are included to resolve doubts and guide you through the step-wise process of question-solving. Moreover, practicing Vedantu’s Limit Continuity and Differentiability Practice Paper for JEE Main can enhance your question-solving speed.


Prepare to solve 3 or more questions from the Limit Continuity and Differentiability chapter in the JEE Main Exam. To understand its importance, find the table detailing the weightage of the Limit Continuity and Differentiability chapter in the past five years of the JEE Main Exam.


Year

Weightage of JEE Main Questions From Limit Continuity and Differentiability

2023

7%

2022

7%

2021

7%

2020

7%

2019

7%


Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Limit Continuity and Differentiability Practice Paper today to excel in your JEE Main exams!

Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Maths, Physics, and Chemistry—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Physics, as well as Chemistry Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for the JEE Main Subject-wise Practice Paper.


Subject-wise Links For JEE Main Practice Paper

JEE Main Chemistry Practice Paper

JEE Main Physics Practice Paper


Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers need to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.



Important Topics From Limit Continuity and Differentiability for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Limit Continuity and Differentiability. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper on Limit Continuity and Differentiability. Here are some of the important topics of the Limit Continuity and Differentiability.


  • Topic 1: Definition of Limits

Understanding limits is crucial for calculus. Limits determine how a function behaves as it approaches a particular point. This concept helps in evaluating derivatives and integrals.


  • Topic 2: Continuity of Functions

Continuity ensures a smooth and unbroken curve for a function. It's essential to identify points of discontinuity and understand how to make a function continuous.


  • Topic 3: Differentiability

Differentiability examines the rate of change of a function at a specific point. It's fundamental for finding derivatives, which are essential for solving problems in calculus and physics.


  • Topic 4: Rules of Differentiation

Knowing differentiation rules, like the product rule and chain rule, simplifies finding derivatives of complex functions. These rules streamline calculations in calculus.


  • Topic 5: Applications of Differentiation

Understanding how to apply differentiation to solve real-world problems, such as optimization and related rates, is crucial for practical calculus applications, making it a vital topic for JEE Main preparation.


Equations To Score More in Practice Paper of JEE Main Limit Continuity and Differentiability

Equations are the base for solving the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out the Practice Paper of JEE Main Limit Continuity and Differentiability.


1. Limit Definition:

\[\lim_{{x \to a}} f(x) = L\]


2. Continuity at a Point:

\[f(a) = \lim_{{x \to a}} f(x)\]


3. Differentiability:

\[f'(x) = \lim_{{h \to 0}} \frac{{f(x + h) - f(x)}}{h}\]


4. Chain Rule:

\[\frac{{d(uv)}}{{dx}} = u \frac{{dv}}{{dx}} + v \frac{{du}}{{dx}}\]


5. Derivative of Common Functions:

   - Constant: $\frac{{d}}{{dx}}(c) = 0$

   - Power Rule: $\frac{{d}}{{dx}}(x^n) = nx^{n-1}$

   - Exponential: $\frac{{d}}{{dx}}(e^x) = e^x$

   - Logarithm: $\frac{{d}}{{dx}}(\ln(x)) = \frac{1}{x}$

   - Trigonometric: $\frac{{d}}{{dx}}(\sin(x)) = \cos(x)$, $\frac{{d}}{{dx}}(\cos(x)) = -\sin(x)$

   

For more formulas and equations you can refer to Vedantu’s JEE Main Formula page.


What Makes Vedantu’s Practice Paper PDF of JEE Main Limit Continuity and Differentiability Different?

Practice Paper for JEE Main serves as a resource for students who prepare for the exam, by offering questions structured in the same manner as the JEE Main exam. Vedantu’s JEE Main Practice Papers stand as the immediate post-chapter learning companion. Now, let’s delve into the distinctive traits of Vedantu’s Limit Continuity and Differentiability Practice Paper for JEE Main.


  • Quality Content: Vedantu's Practice Paper for Limit Continuity and Differentiability is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

  • Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from the Limit Continuity and Differentiability, allowing students to thoroughly practice and master each topic.

  • Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Limit Continuity and Differentiability JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

  • User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

  • Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.


How To Prepare For JEE Main With Limit Continuity and Differentiability Practice Paper?

Vedantu’s Limit Continuity and Differentiability JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF, you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.


  1. Download the Daily Practice Paper of JEE Main Limit Continuity and Differentiability.

  2. You can set a timer of 1 hour.

  3. Solve the easy questions first and give time for tough questions.

  4. Note your answers on a sheet of paper and check with the answer key.

  5. Each question carries 4 marks and gives a negative mark of -1 for each question.

  6. Now calculate the score and analyse yourself. 

  7. You can take the help of detailed solutions given in the PDF for better clarity of questions and answers. 

  8. Learn how to do the incorrect answers and practice the questions again.

  9. Make a note of the time you take for each question to practice. 


When to Start Preparing With JEE Main Practice Paper of Limit Continuity and Differentiability?

To maximize your JEE Main preparation and increase your chances of success in the exams, it's advisable to start your JEE Main Practice Paper of Limit Continuity and Differentiability preparation early in your academic journey. This approach ensures thorough subject mastery and sufficient time for revision. Follow this timeline to effectively utilize the Daily Practice Paper.


  • Foundation Building (1-2 Years Prior): Start with foundational studies and build a strong understanding of the core concepts in Limit Continuity and Differentiability.

  • Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating the Practice Paper of JEE Main Limit Continuity and Differentiability into your routine. 

  • Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take a full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.


Additional Materials To Cover With  JEE Main Limit Continuity and Differentiability Practice Paper

After learning the Limit Continuity and Differentiability chapter, you need to make sure that you are mastering the contents you learn so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision of the Limit Continuity and Differentiability, you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.



Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Limit Continuity and Differentiability, you can test your online skills for JEE Main Maths. Vedantu is also providing you with an online practice paper test where you can get a real experience of attempting the JEE Main Exam.



Mastering Limit Continuity and Differentiability With JEE Main Practice Paper

The JEE Main Limit Continuity and Differentiability Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer keys help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Limit Continuity and Differentiability Daily Practice Paper for FREE!


JEE Mains Sample Paper: Limit Continuity and Differentiability

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2025 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Limit Continuity and Differentiability chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.


With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

FAQs on JEE Main Limit Continuity and Differentiability Practice Paper FREE PDF Download

1. What is the significance of practicing Limit Continuity and Differentiability questions for JEE Main?

Practicing Limit, Continuity, and Differentiability questions for JEE Main is essential as these topics carry significant weightage in the exam. A thorough understanding of these concepts helps you solve complex problems, which are common in the JEE Main paper. Regular practice builds your problem-solving skills and boosts your confidence for the exam.

2. Can you provide some tips for tackling Limit Continuity and Differentiability questions in the JEE Main practice paper?

Certainly! Start by understanding the theory thoroughly. Then, practice a variety of problems, focusing on different types and levels of difficulty. Time management is crucial during the exam, so practice solving problems under timed conditions. Also, make use of the answer key and solutions to analyze your mistakes and improve.

3. How can I improve my understanding of limits and continuity for JEE Main Practice Paper?

To improve your understanding of limits and continuity, start with a good textbook or online resources that cover these topics in detail. Work through examples and practice problems. Seek help from teachers or online forums if you encounter difficulties. Continuous practice and gradual progression to more challenging problems will strengthen your grasp of these concepts.

4. Is it important to practice both basic and advanced level questions in Limit Continuity and Differentiability for JEE Main?

Yes, it's essential to practice both basic and advanced level questions. JEE Main often includes a mix of straightforward and complex problems. By practicing both, you'll build a strong foundation and gain the skills needed to tackle any level of difficulty that may appear on the exam.

5. How can I effectively use the solutions and answer key provided with a JEE Main practice paper on Limit Continuity and Differentiability?

After attempting a practice paper, review your answers with the provided answer key. Identify your mistakes and go through the solutions for the questions you couldn't solve. Understand the problem-solving techniques and concepts used in the solutions. This will help you learn from your mistakes and improve your skills.

6. Are there any common mistakes students make in Limit, Continuity, and Differentiability questions in the JEE Main Practice Paper?

Yes, some common mistakes include forgetting to apply L'Hôpital's Rule when dealing with indeterminate forms, misinterpreting the definition of continuity, and not considering one-sided limits. It's crucial to practice regularly to minimize these errors and gain confidence in solving such problems.

7. How can I gauge my progress in Limit Continuity and Differentiability while practicing for JEE Main?

To gauge your progress, regularly take full-length mock tests that include questions on Limit, Continuity, and Differentiability. Compare your performance over time, and focus on improving your accuracy and speed. Tracking your scores and reviewing your mistakes will help you assess your readiness for the exam.

8. Are there any specific topics within Limit Continuity and Differentiability that are more frequently asked in JEE Main Practice Paper?

While JEE Main can cover various topics within Limit, Continuity, and Differentiability, some commonly asked topics include limits at infinity, continuity of composite functions, and applications of derivatives, such as maxima and minima problems. It's crucial to have a well-rounded understanding of these concepts for the exam.