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

## 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.

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

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

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)