Let f(x+y)=f(x)f(y) and f(x)=1+xg(x) (x), where _ x 0 g(x)=a and _ x 0 (x)=b. Then what is f'(x) equal to?

NDA 2018 Mathematics question

Let and , where and . Then what is equal to?

Answer: (D)

\lim$ =

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Question ID VK-029029