This chapter mainly deals with problems based on limits and how it is derived. For students who find Maths to be a difficult subject, experts have explained the topics step by step to make learning Maths fun and to help them understand the concepts easily. Solved examples are available before the exercise wise problems for students to practice the problems. The solutions pdf mainly contain answers with explanations in an interactive manner to help students perform well in the board exam. To get a clear idea about the method of solving problems, students can use RD Sharma Class 11 Maths Solutions pdf, from the links given below.
Chapter 29 – Limits contains eleven exercises and the RD Sharma Solutions present in this page provide solutions to the questions present in each exercise. Now, let us have a look at the concepts discussed in this chapter.
- 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.
- Direct substitution method.
- Factorization method.
- Rationalisation method.
- Evaluation of algebraic limits by using some standard limits.
- Method of evaluation of algebraic limits at infinity.
- Evaluation of trigonometric limits.
- Evaluation of trigonometric limits when the variable tends to zero.
- Evaluation of trigonometric limits when variables tend to a non-zero quantity.
- Evaluation of trigonometric limits by factorisation.
- Evaluation of exponential and logarithmic limits.
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Access answers to RD Sharma Solutions for Class 11 Maths Chapter 29 – Limits
EXERCISE 29.1 PAGE NO: 29.11
1. Show that 
 does not exist.
Solution:
Solution:
So, let x = 2 – h, where h = 0
Substituting the value of x, we get
EXERCISE 29.2 PAGE NO: 29.18
Evaluate the following limits:
EXERCISE 29.3 PAGE NO: 29.23
Evaluate the following limits:
∴ The value of the given limit is ½.
By substituting the value of x, we get
EXERCISE 29.4 PAGE NO: 29.28
Evaluate the following limits:
∴ The value of the given limit is ½.
We need to find the limit of the given equation when x => 0
Now let us substitute the value of x as 0, we get an indeterminate form of 0/0.Â
Let us rationalizing the given equation, we get
∴ The value of the given limit is ½.
EXERCISE 29.5 PAGE NO: 29.33
Evaluate the following limits:
EXERCISE 29.6 PAGE NO: 29.38
Evaluate the following limits:
= 3 / 2
EXERCISE 29.7 PAGE NO: 29.49
Evaluate the following limits:
So,
EXERCISE 29.8 PAGE NO: 29.62
Evaluate the following limits:
EXERCISE 29.9 PAGE NO: 29.65
Evaluate the following limits:
EXERCISE 29.10 PAGE NO: 29.71
Evaluate the following limits:
EXERCISE 29.11 PAGE NO: 29.71
Evaluate the following limits:
So here,
f (x) = cos x + sin x – 1
g (x) = x
Then,
