Give an example of a function with a removable

Question

1. Each of the following functions has a removable discontinuity at x = 2. How would you define f(2) tin order to make f(x) continuous at x = 2?

a. f(x) = (x³ - 8) / (x² - 4)
b. f(x) = (x² - x - 2) / (x - 2)

2. Give an example of a function with a removable discontinuity, a function with a jump discontinuity, and a function with an infinite discontinuity.