If f(x)f(y) = f(x+y) and f is continuous at x=0, then f is continuous everywhere (ILIEKMATHPHYSICS)

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f(x+y)=f(x)+f(y) and f is continuous at x=0 then f is continuous every where.f(x+y)=f(x)+f(y) and f is continuous at x=0 then f is continuous every where.
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