# Answer to Question #15227 in Calculus for harry smith

Question #15227

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)

{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)

Expert's answer

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.

limx->2^+f(x)=2-1=1

As left and right limits are inequal so limx->2f(x) doesn't exist.

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