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Using mathematical induction , prove tha...

Using mathematical induction , prove that `tan^(-1)((1)/(3))+tan^(-1)((1)/(7))+.....+tan^(-1)((1)/(n^2+n+1))=tan^(-1)((n)/(n+2))`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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