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)
1
Expert's answer
2012-09-28T09:08:15-0400
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.

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