**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

*play_arrow*Some Important Definitions*play_arrow*Intervals*play_arrow*Definition of Function*play_arrow*Domain, Co-domain and Range of Function*play_arrow*Algebra of Functions*play_arrow*Kinds of function*play_arrow*Even and Odd Function*play_arrow*Periodic Function*play_arrow*Composite Function*play_arrow*Inverse Function*play_arrow*Limit of a Function*play_arrow*Fundamental Theorems on Limits*play_arrow*Methods of Evaluation of Limits*play_arrow*Introduction*play_arrow*Continuity of a Function at a Point*play_arrow*Continuity From Left and Right*play_arrow*Discontinuous Function*play_arrow*Differentiability of a Function at a Point

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