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The sum of the infinite terms of the ser...

The sum of the infinite terms of the series ` "tan"^(-1)((1)/(3))+ "tan"^(-1)((2)/(9)) + tan^(-1)((4)/(33)) + .... ` is equal to ` (pi)/(n)` The value of n is:

A

`pi/2`

B

`pi/3`

C

`pi/4`

D

`pi/6`

Text Solution

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The correct Answer is:
C
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