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examine continuity and differentiability of f(x)at x=0 where f(x)=xcos(1/x),x is not equal to 0 and f(x)=0 ,x=0

examine continuity and differentiability of f(x)at x=0 where f(x)=xcos(1/x),x is not equal to 0 and f(x)=0 ,x=0

Grade:12th pass

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
4 years ago
PFA

For differentiability follow same steps applying f(x+h)-f(x)/h for RDH and f(x-h) – f(x)/-h applying the limits.
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