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Let f(x) = {{:(|x|,"for",0 lt |x| le 2),...

Let `f(x) = {{:(|x|,"for",0 lt |x| le 2),(1,"for",x = 0):}`. Then at x = 0, f has

A

a local maximum

B

no local maximum

C

a local minimum

D

no extremum

Text Solution

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The correct Answer is:
A
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