Question: Let f ( x ) = x s i n ( 1 x ) for x 0 and f ( 0 ) = 0 .

Let f(x)=xsin(1x) for x0 and f(0)=0. Is f differentiable at x=0? Justify your answer.
Let f(x)=xsin(1x) for x0 and f(0)=0. Is f differentiable at x=0?

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