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If the function f(x)=((4^(sin x)-1)^(2)...

If the function `f(x)=((4^(sin x)-1)^(2))/(x*log(1+2x))`, for `x!=0` is continuous at `x=0`, find `f(0)`.

A

`1/4 (log 4)^(2)`

B

`1/2 (log 4)^(2)`

C

`2 (log 4)^(2)`

D

`2 (log 2)^(2)`

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Verified by Experts

The correct Answer is:
D
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