# JEE Main & Advanced Mathematics Functions Introduction

## Introduction

Category : JEE Main & Advanced

The word ‘continuous’ means without any break or gap. If the graph of a function has no break or gap or jump, then it is said to be continuous.

A function which is not continuous is called a discontinuous function. While studying graphs of functions, we see that graphs of functions $\sin x$, $x,$ $\cos x$, ${{e}^{x}}$ etc. are continuous but greatest integer function $[x]$ has break at every integral point, so it is not continuous. Similarly $\tan x,\,\,\cot x,\,\,\sec x$, $\frac{1}{x}$ etc. are also discontinuous function.

Continuous function

Discontinuous function

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