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If f(x)=xSin(1/x) then f is continuous at x=0

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If f(x)=xSin(1/x) then f is continuous at x=0
Show that the function f defined by f(x) = xsin(1/x) and 0 when x=0 is continuous at x=0.
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x Sin(1/x) is continuous at x=0 but not differentiable
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