Let f: R approaches to R be the function defined by. f(x) : ={ (x sin(1/x))2 , if x is not equal to zero. { 0 , if

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answerhappygod
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Let f: R approaches to R be the function defined by. f(x) : ={ (x sin(1/x))2 , if x is not equal to zero. { 0 , if

Post by answerhappygod »

Let f: R approaches to R be the function defined by.
f(x) : ={ (x sin(1/x))2 , if x is not equal to
zero.
{ 0
, if x =0
Prove that.
1: f (x) is differentiable at every real number.
2: f'(x) is continuous at every real number except at
x=0.
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