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The question is to investigate the continuity and differentiability at x=0 of the following function: f(x) = x^2sin(1/x) when x is not 0 and f(x)

The question is to investigate the continuity and differentiability at x=0 of the following function: f(x) = x^2sin(1/x) when x is not 0 and f(x) = 0 when x=0.

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