A function f : R -+ JR is said to be additive if f (x + y) = f (x) + f (y) for all x, y
Chapter 5, Problem 12(choose chapter or problem)
A function f : R -+ JR is said to be additive if f (x + y) = f (x) + f (y) for all x, y in R. Prove that if f is continuous at some point x0 , then it is continuous at every point of R. (See Exercise 4.2.12.)
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