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योगफल sum(n=1)^(infty) tan^(-1)((4n)/(n^...

योगफल `sum_(n=1)^(infty) tan^(-1)((4n)/(n^(4)-2n^(2)+2))` का मान है:
(i) `tan^(-1)1/2 + tan^(-1) 2/3` (ii) `4 tan^(-1)1` (iii) `pi/2` (iv) `sec^(-1) (-sqrt(2))`

A

`tan^(-1)1/2 + tan^(-1) 2/3`

B

`4 tan^(-1)1`

C

`pi/2`

D

`sec^(-1) (-sqrt(2))`

लिखित उत्तर

Verified by Experts

The correct Answer is:
D
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