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A function f : R to R Satisfies the f...

A function f : ` R to R ` Satisfies the following conditions
(i) `f (x) ne 0 AA x in R `
(ii) `f(x +y)= f(x) f(y) AA x, y, in R `
(iii) f(x) is differentiable
(iv ) f'(0) =2
The value of f(0) is

A

1

B

`-1`

C

2

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
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