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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