Question: 7. Suppose that f : R ) R is a function such that x + y) =f(x) +y) for all x, y e R. Prove

 7. Suppose that f : R ) R is a function
such that x + y) =f(x) +y) for all x, y e

7. Suppose that f : R ) R is a function such that x + y) =f(x) +y) for all x, y e R. Prove that f has a limit at 0 if and only if f has a limit at every point c in R

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