RD Sharma Solutions for Class 11 Maths Chapter 29 Limits

RD Sharma Solutions Class 11 Maths Chapter 29 – Download Free PDF Updated for (2023-24)

RD Sharma Solutions for Class 11 Maths Chapter 29 – Limits are given here for students to study effectively and secure good marks in the board examination. This chapter mainly deals with problems based on limits and how it is derived. For students who find Maths a difficult subject, experts have designed the solutions in a step-wise manner to make learning fun and interesting and to help them grasp the concepts with ease. 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 RD Sharma Solutions provide 100% accurate answers to the questions present in each exercise. The RD Sharma Solutions formulated by experts mainly contain answers with explanations in an interactive manner to help students perform well in the board exam. 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.
  • Factorisation 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.

RD Sharma Solutions for Class 11 Maths Chapter 29 – Limits

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Access 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.

Let us rationalise the given equation, and 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,

Also, access exercises of RD Sharma Solutions for Class 11 Maths Chapter 29 – Limits

Exercise 29.1 Solutions

Exercise 29.2 Solutions

Exercise 29.3 Solutions

Exercise 29.4 Solutions

Exercise 29.5 Solutions

Exercise 29.6 Solutions

Exercise 29.7 Solutions

Exercise 29.8 Solutions

Exercise 29.9 Solutions

Exercise 29.10 Solutions

Exercise 29.11 Solutions