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The value of cotsum(n=1)^(19)cot^(-1)(1+...

The value of `cotsum_(n=1)^(19)cot^(-1)(1+sum_(p=1)^(n)2p)` is equal to (a) `(21)/(19)` (b) `(19)/(21)` (c) `-(19)/(21)` (d) `-(21)/(19)`

A

`(19)/(21)`

B

`(21)/(19)`

C

`(22)/(23)`

D

`(23)/(22)`

Text Solution

Verified by Experts

The correct Answer is:
B
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