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if tan^-1(1/(1+1*2))+tan^-1(1/(1+2*3))+....

if `tan^-1(1/(1+1*2))+tan^-1(1/(1+2*3))+.............+tan^-1(1/(1+n*(n+1)))=tan^-1theta` then find the value of `theta`

A

`(n)/(n+1)`

B

`(n+1)/(n+2)`

C

`(n)/(n+2)`

D

`(n-1)/(n+2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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