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If S(n)=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)...

If `S_(n)=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+….. n` terms, then

A

`S_(10)=tan^(-1)""5/6`

B

`S_(infty)=pi/4`

C

`S_(6)=sin^(-1)""4/5`

D

`S_(20)=cot^(-1)1.1`

Text Solution

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The correct Answer is:
A, B, D
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