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Find the sum to infinite terms of the se...

Find the sum to infinite terms of the series `tan^(-1)((1)/(3))+tan^(-1)((2)/(9))+"........."+tan^(-1)((2^(n-1))/(1+2^(2n-1)))+"......"`.

A

`pi//4`

B

`pi//2`

C

`pi`

D

None of these

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The correct Answer is:
A
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