Q .     Let `f (x+ y) = f(x) + f(y)` for all `x` and `y`. If the
function `f (x)` is Continuous at `x = 0`, then `f (x)` is
continuous

UPSEE 2014
A

only at `x = 0`

B

at `x in R - { 0}`

C

for all x

D

None of these

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