Question: 8. Let f be a function such that for all x, y E R, f ( x t y ) = f (x) + f

8. Let f be a function such that for all x, y E R, f ( x t y ) = f (x) + f (y). (i) Prove that if f is continuous at 0, then f is continuous on R. Prove that if f is differentiable at 0, then f is differentiable on R

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