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sum(r=1)^(n)tan^(-1)((2^(r-1))/(1+2^(2r-...

`sum_(r=1)^(n)tan^(-1)((2^(r-1))/(1+2^(2r-1)))` is equal to:

A

` tan^(-1)(2^(n))`

B

` tan^(-1)(2^(n))- (pi)/(4) `

C

` tan^(-1)(2^(n+1))`

D

` tan^(-1)(2^(n+1))- (pi)/(4) `

Text Solution

Verified by Experts

The correct Answer is:
B
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