Let f(x+y)= f(x)+f(y) for all x, y in R ...

`Let f(x+y)= f(x)+f(y) for all x, y in R` Then (A) f(x) must be continuous `AA x in R` (B) f(x) may be continuous `AA x in R` (C) f(x) must be discontinuous `AA x in R` (D) f(x) may be discontinuous `AA x in R`

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