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see attachment and explain it

 see attachment and explain it

Question Image
Grade:12

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello
if f=x^alpha *sin(1/x) at x not equal to zero.
then
by squeeze theorem limit x to 0 f will be = 0 for alpha > 0
but randomness around 0 is too great for alpha=1 so not differentiable.
so alpha > 1
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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