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

If `S_n=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+ddotn` terms, then (a) `S_(10)=tan^(-1)(5/6)` (b) `S_oo=pi/4` (c) `S_6=sin^(-1)(4/5)` (d) `S_(20)=cot^(-1)1. 1`

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