Give an example of a function with both a removable and a non-removable discontinuity..

and f(-1) =1  

Removable discontinuity at x=-1 and non removable discontinuity at x =2

Step-by-step explanation:

Removable discontinuity:When  a function is not defined at one point and all other points function is defined .Then the point is called removable discontinuity.In this function, limit exist but value of function at x=a  is not equal  to the value of function after applying limit.

Non- removable discontinuity:It can not be removed .The point at which function can not be defined and denominator x is  zero for corresponding value of x .The limit of function at x= a does not exist .Left hand limit and right hand limit both are exist but they are not equal.Then , we say function have non removable discontinuity.

For example

and f(-1) =1

The given function have removable discontinuity at x= -1 and at x=2 , function have non - removable discontinuity .

abde or 1,2,4, 5 is the answer

step-by-step explanation:

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