Let S (K) = sum (r=1) ^(k) tan ^(-1) (( ...

`Let S _(K) = sum _(r=1) ^(k) tan ^(-1) (( 6 ^r)/( 2 ^( 2 r + 1) + 3 ^( 2r +1))) .` Then `lim _( k to oo) S _(k)` is equal to :

A

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

B

`pi/2`

C

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

D

`tan^(-1)(3)`

Verified by Experts

The correct Answer is:

A

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