What is an additive function
Discussion:
Q: Let f : R --> R be an additive function i.e. f(x+y) = f(x) + f(y) for all x,y in R.
1. If f is bounded at a point, then f is continuous at that point.
2. If f is measurable, then f is linear i.e. f(x) = cx for some c in R.
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