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RD Sharma Class 11 Solutions Chapter 29 - Limits (Ex 29.4) Exercise 29.4

Last updated date: 21st May 2024
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RD Sharma Class 11 Solutions Chapter 29 - Limits (Ex 29.4) Exercise 29.4 - Free PDF

In mathematics (or calculus), a Limit is a value that a function tends to approach as the input (or index) approaches some value. Limits are an integral part of calculus and are used in defining topics like Continuity, derivatives and integrals, which are extensively covered in class 12.

The chapter provides the student with an introduction to the limits, this chapter is a very crucial one but not due to the weightage it carries in the class 11 exam. But the chapter is crucial because it builds the foundation for the Calculus of class 12.

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How many exercises are there in chapter 29 -and where I can find solutions for these exercises?

The RD Sharma class 11 chapter 29 - Limits, comprises as many as eleven exercises that include questions based on the Concepts of Limit and evaluation of algebraic limits by the use of various methods.

Precise solutions to questions in these 11 exercises are provided by Vedantu free of charge. Links to the solutions of the question of other exercises of chapter 29 class 11 are - 

Free PDF download of RD Sharma Class 11 Solutions Chapter 29 - Limits Exercise 29.4 solved by Expert Mathematics Teachers on All Chapter 29 - Limits Ex 29.4 Questions with Solutions for RD Sharma Class 11 Maths to 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.

FAQs on RD Sharma Class 11 Solutions Chapter 29 - Limits (Ex 29.4) Exercise 29.4

1. List the important topics covered in chapter 29 - Limits in RD Sharma class 11

These are the most important topics covered in class 11 chapter 23 Limits - 

  • An Informal approach to limit.

  • Evaluation of left hand and right-hand limits.

  • Difference between the value of a function at a point and the limit at that point.

  • The algebra of limits.

  • Indeterminate forms and evaluation of limits.

  • Evaluation of algebraic limits

  • Evaluation of trigonometric limits

  • Evaluation of exponential and logarithmic limits.

Students will be able to easily grasp all these concepts by doing the exercise questions given in the RD Sharma book. 

2. Why is the RD Sharma Book Popular Among the students of Class 10-12th?

Here are some of the few reasons why the students should prefer using the RD Sharma book in their class - 10 - 12th.

  1. Builds strong foundation: It is said that the students, who understand a concept from the RD Sharma cannot easily forget the concepts.

  2. Exam-oriented approach: The questions, solutions and concepts are laid in such a manner that helps the student before the exams

  3. Helpful in competitive exams: I believe this is the main reason for the rise of the RD Sharma books, as they are considered very useful in competitive exams such as IIT JEE and Olympiads.

3. How many questions are there in Exercise 29.4 and what type of questions are in there?

There are a total of 11 exercises included in chapter 23 - Limits. The fourth exercise of those 11, is Ex 29.4, which entails 34 questions in the RD Sharma books. In exercise 29.4, the student will have to evaluate the limits given as a quadratic equation. The limits of quadratic equations in this exercise will have their denominator as zero “0” when directly filled with the approaching a value of a function. The students will be required to change these limits of quadratic equations in such a way, they don’t have a denominator as zero and then solve the limits.

4. Define the two ways in which x can approach a number in a function as mentioned in chapter 29 - limits

In a limit function of x, there are only two ways in which x can approach a given number. It can approach either from the left or from the right.

Right-hand limit: In the right-hand limit, the x near a number (say a), is greater than a. The function in which x tends to approach from right is written as \[ lim_{X\to a^{+}}\] f(x)

Left-hand limit: In the left hand, the x near a number (a), is smaller than a. It is written as \[ lim_{X\to a^{-}}\] f(x)