Question

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

Answer 1

Answer:

See below

Step-by-step explanation:

Below I created the graph of $\frac{x^{2}-9}{x+3}+\frac{1}{x^{2}}$.

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

Answer 2

Answer:

An example of this is

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

2 is removable discontinuity

3 is non-removable discontinuity

Step-by-step explanation: