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Let f(x) be a function satisfying `f(x+y)=f(x)f(y)` for all `x,y in R` and f(x)=1+xg(x) where `lim_(x to 0) g(x)=1`. Then f'(x) is equal to

A

g'(x)

B

g(x)

C

f(x)

D

None of these

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OBJECTIVE RD SHARMA-CONTINUITY AND DIFFERENTIABILITY-Exercise
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