If f(x+y)=f(x)f(y) for all x and y and f...

If `f(x+y)=f(x)f(y)` for all x and y and `f(X)=1+g(x)G(x)` where `lim_(xto 0)g(x)=0` and `lim_(xto0)G(x)=0` exits. Prove that f (x) is continuous for all x.

A

`a/b`

B

`1+ab`

C

`ab`

D

None of these

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The correct Answer is:

C

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