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The sum of series sec^(-1)sqrt(2)+"sec"^...

The sum of series `sec^(-1)sqrt(2)+"sec"^(-1)(sqrt(10))/3+"sec"^(-1)(sqrt(50))/7+…………..+sec^(-1)sqrt(((n^(2)+1)(n^(2)-2n+2))/((n^(2)-n+1)^(2)))` is

A

`tan^(-1)1`

B

`tan^(-1)n`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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