If f :R to R f(x)= xsin(1/x) if x greater than 0 & 0 when x is less than 0 discuss continuity of f(x

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Show that the function f defined by f(x) = xsin(1/x) and 0 when x=0 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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