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The value of "tan"^(-1)4/7+"tan"^(-1)4/1...

The value of `"tan"^(-1)4/7+"tan"^(-1)4/19+"tan"^(-1)4/39+"tan"^(-1)4/67……..oo` equals

A

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

B

`tan^(-1)1+cot^(-1)3`

C

`cot^(-1)1+"cot"^(-1)1/2+"cot"^(-1)1/3`

D

`cot^(-1)1+tan^(-1)3`

Text Solution

Verified by Experts

The correct Answer is:
B
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