# RS Aggarwal Class 11 Chapter 27 Solutions (Limits)

RS Aggarwal Class 11 Maths Solutions for Chapter 27 is a perfect guide for you to learn and master this Chapter. Every function has a limit to it and this chapter tells how to find the limits to the functions. Solutions by RS Aggarwal provides easy and simplified methods and answers that help students to clear their concepts and make a clear impression of the Chapter.

The Chapter has 3 exercises and 46 questions in it. The concepts of this Chapter are difficult to understand but RS Aggarwal Solutions make these concepts easy with their simplified examples and answers to the exercise questions. These Solutions for RS Aggarwal Class 11 contain all the necessary topics and concepts which are necessary for you to master the Chapter and gain good marks in the CBSE examination.

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## Important points of Chapter 27 – Limits

- The branch of mathematics which deals with the study of change in the value of the function when the points of the domain change are known as calculus
- a limit is defined as a value that a function approaches the output for the given input values.
- If x —> a, f(x) —> l, then l is called the limit of the function f(x)
- The 2 types of limits are – Right-Hand Limit and Left Hand Limit.
- Limits are used to define Integrals, Derivatives, and Continuity.
- The integrals are Classified into 2 types – Definite and Indefinite integrals.
- The limit of a function at a point is the common value of the left and right-hand limits if they coincide.
- Indefinite integrals, the upper and lower limits have to be defined properly.
- In indefinite integrals, the integrals are expressed without limits.
- The limit of a function can be either a finite or an infinite number.
- Indefinite integrals use an arbitrary constant while integrating the function.
- In the case of limits, a function cannot be manipulated and cancelled as it can be done in usual algebra.
- The limit may exist at a point x = an even if the function is not defined at that point.

**Topics Covered Under Chapter 27: Limits**

- What actually Limit is?
- Properties of limits
- Algebra of limits
- Limits of polynomials and rational functions
- Left Hand and Right-Hand limits
- Existence of limits
- Some standard limits

## Exercise Wise Discussion of RS Aggarwal Class 11 Chapter 27 Limits

**Exercise 27A**

This exercise 27A has 20 questions in which you have to:

- Evaluate the given limits.

**Exercise 27B**

This exercise 27B has 18 questions in which you have to:

- Evaluate the given limits using identities.

**Exercise 27C**

This exercise 27C has 8 questions in which you have to:

- Find the limit when a value is given.
- Show limit does not exist of the given value.

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