Will give brainliest 30 points give an example of a function with both a removable and a non-removable discontinuity.

f(x)=

Step-by-step explanation:

Removable discontinuity function : When left hand limit and right hand limit are equal then limit exist of the function

But

Then , the function have removable discontinuity.

Non- removable discontinuity function: If left hand limit and right hand limit are both limit of given function exist but not equal then the function have non- removable discontinuity.

LHLRHL

Example

Suppose f(x)=

Function have removable discontinuity at x= and function have non removable discontinuity at x=2