Answer to Question #15227 in Calculus for harry smith

Question

Let f={4−x^2 if x≤2
{x-1 if x>2

Find each of the following limits.

(a) limx→2^- f(x)
(b) limx→2^+ f(x)
(c) limx→2f f(x)

Answer 1

limx->2^-f(x)=4-2^2=0
limx->2^+f(x)=2-1=1
As left and right limits are inequal so limx->2f(x) doesn't exist.