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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

`pi/2`

B

`tan ^(-1) (3)`

C

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

D

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

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
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