evaluate each limit, if it exists

Question

Lim as x approaches -2
(x^4 - 16) / (x+2)

Answer 1

You can factor out the x+2.

x^4 - 16 = (x^2+4)(x^2-4)
= (x^2+4)(x-2)(x+2)

So the ratio is always
(x^2+4)(x-2)
Evaluate that at x=-2