Question

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

Answer 1

An example of this is

F(x) = (x-2)/((x-2)(x-3))

2 is removable discontinuity

3 is non-removable discontinuity

Explanation:

Answer 2

See below

Explanation:

Below I created the graph of
`(x^(2)-9)/(x+3)+(1)/(x^(2))`.

It has a removable discontinuity at x=-3, and a non-removable discontinuity at x=0. Hope this helps!