Question

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

Answer 1

@jim_thompson5910

Answer 2

Build a rational expression that has two factors in the numerator, and two in the denominator. Make sure the numerator and denominator have one factor in common. That factor will generate a removable discontinuity. The other factor in the denominator will generate a non-removable discontinuity.