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## Limit and Continuity

##### LEARNING OBJECTIVES

After studying this chapter, you will be able to understand:

• Know the concept of limit and continuity

• Understand the theorems (statements) and formula of limit and definition of continuity

• Know how to solve the problems related to limit and continuity with the help of given illustrations

##### INTRODUCTION

Limit and Continuity is a branch of calculus. Intuitively we call quantity y a function of another quantity x if there is a rule by which a unique value of y is associated with a corresponding value of x.

##### DEFINITION OF LIMIT OF A FUNCTION

When value of x is very close to certain value a, then functional value f(x) goes on becoming l. Then symbolically we can say that

Note: Meaning of x →a (x ...

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