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RD Sharma Class 11 Solutions Chapter 29 - Limits (Ex 29.1) Exercise 29.1

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RD Sharma Class 11 Solutions Chapter 29 - Limits (Ex 29.1) Exercise 29.1 - Free PDF

Free PDF download of RD Sharma Class 11 Solutions Chapter 29 – Limits Exercise 29.1 solved by expert Mathematics teachers is available on Vedantu.com. All Chapter 29 – Limits Ex 29.1 questions with solutions for RD Sharma Class 11 Maths help you to revise the complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams on Vedantu.

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Class 11 Solutions Chapter 29 – Limits

Limits is the eleventh chapter of the Class 11 RD Sharma textbook. It is important since a good understanding of limits is needed when learning calculus in Class 12. Calculus and limits are not only limited to students in Grades 11 and 12, but they also cover a significant percentage of the JEE syllabus. Limits will always be important for further studies linked to Maths. As a result, it is preferable to have a firm grasp on the subject right now. As a result, you will have no difficulties answering calculus and limit problems in the future.


You will first study the notations of limitations in limits. After that, you will learn what limits are, what they mean, and how they are used. Here, in RD Sharma Chapter 29 – Limits for Class 11, you will cover exercises on topics such as: 

  • An informal approach to limit.

  • Evaluation of left-hand limits.

  • Evaluation of Right-hand limits.

The content on Vedantu is 100% reliable. All the resources available on Vedantu are created by teachers who are experts in their field. All of the resources are double-checked for errors so that the students get a high-quality resource that is free of errors. The solutions available on Vedantu are detailed and created in a way that students find it easier to understand the solution and understand the concept used behind the problem. The most important thing is that the content is completely free.


Importance of RD Sharma Solutions for Class 11 Chapter 29

  • RD Sharma provides high-quality questions that cover all aspects of each chapter.

  • Not only for Class 11 and 12 examinations but also for those preparing for the JEE, RD Sharma is a must.

  • Limits are needed when learning calculus. So, it is important to solve questions on limits from RD Sharma so that you have a strong conceptual hold on the chapter.

  • RD Sharma helps in the understanding of a chapter's conceptual concept.

Limit is an important chapter for students in Class 11. This chapter is new to Class 11 students, and it is important that they try to study it thoroughly and build a strong conceptual understanding. In Class 11, limits is given a lot of weightage. So, solving RD Sharma’s Class 11 Maths problems can help you get high grades in Class 11. Limits are also required while solving calculus problems. Limits have a wide range of applications in Mathematics. Thus,  for students who plan to study mathematics in the future, it is really important for them to clear the concepts now.


RD Sharma Chapter 29 – Limits Ex 29.1 for Class 11

Students will learn about the following topics in limits in Exercise 29.1: 

  • An informal approach: The foundation concept of limit supports the two broad fields of calculus known as differential and integral calculus. In this section, we will understand what a limit is using numerical and graphical examples.

  • Evaluation of left-hand limits and right-hand limits: In this section, you will learn about left and right-hand limits.

  • A left-hand limit refers to a function's limit as it approaches from the left. A right-hand limit, on the other hand, is the limit of a function as it approaches from the right.

  • When determining a function's limit as it approaches a number, the aim is to observe the function's behaviour as it approaches the number. We try to substitute values that are as near to the target number as possible.

All the resources of Class 11 Chapter 29 Exercise 29.1 are available on Vedantu for free. All the resources are created by teachers who are experts in their field. Students can find important concepts, revision notes, important questions, previous year questions, and much more useful content to help them prepare for their exams. The materials are absolutely free of any cost. Simply log into Vedantu and dig into a wealth of high-quality resources. Apart from the website, Vedantu also has a mobile app. So in case you are comfortable studying from your phone, you can download the Vedantu app from the play store for free and start your journey.

FAQs on RD Sharma Class 11 Solutions Chapter 29 - Limits (Ex 29.1) Exercise 29.1

1. What type of questions are given in RD Sharma Class 11 Chapter 29 – Limits (Ex 29.1)?

The first exercise of RD Sharma Class 11 Chapter 29 consists of questions based on evaluation of left-hand and right-hand limits. There are a total of 22 questions given in the first exercise and students need to solve the questions of this exercise by using the left-hand and right-hand sides of the limit. 

2. Show that  \[\lim_{X \rightarrow 0}\frac{X}{\lvert X\rvert}\] does not exist.

Firstly let us consider L.H.S

 

\[\lim_{X \rightarrow 0^{-}} = \lgroup\frac{X}{\lvert X\rvert}\rgroup\]


So, let X = 0 - h, where h = 0


\[\lim_{X \rightarrow 0}\frac{X}{\lvert X\rvert}\]  = \[\lim_{h \rightarrow 0}\lgroup\frac{0-h}{\lvert 0-h\rvert}\rgroup\]

 

\[\lim_{h \rightarrow 0} = \lgroup\frac{-h}{h}\rgroup\]

 

= -1

 

Now, let us consider the R.H.S

 

\[\lim_{X \rightarrow 0^{+}} = \frac{\lgroup X\rgroup}{\lvert X\rvert}\]

 

So, let X = 0 + h, where, h = 0

 

\[\lim_{X \rightarrow 0} = \frac{\lgroup X\rgroup}{\lvert X\rvert} = \lim_{h \rightarrow 0}= \lgroup\frac{0+h}{\lvert 0+h\rvert}\rgroup\]

 

\[\lim_{h \rightarrow 0}\lgroup \frac{h}{h}\rgroup\]

 

= 1

 

Since L.H.S ≠ R.H.S

 

∴ Limit does not exist