NDA Math Limit, Continuity and Differentiability

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Question : 36 of 105

Marks: +1, -0

Let f(x+y)=f(x)f(y) and f(x)=1+xg(x)ϕ(x), where

lim

x→0

g(x)=a and

lim

x→0

ϕ(x)=b.
Then what is f(x) equal to?

[NDA II 2018]

1+abf(x)
1 + ab
ab
abf(x)

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