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cot^(-1) (2^2+1/2)+cot^(-1) (2^3+1/2^2)+...

`cot^(-1) (2^2+1/2)+cot^(-1) (2^3+1/2^2)+cot^(-1)(2^4+1/2^3)+…… oo`

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The sum to infinite terms of the series cot^(-1)(2^(2)+(1)/(2))+cot^(-1)(2^(3)+(1)/(2^(2)))+cot^(-1)(2^(4)+(1)/(2^(3)))+

If the sum of first 16 terms of the series s=cot^(-1)(2^(2)+(1)/(2))+cot^(-1)(2^(3)+(1)/(2^(2)))+cot^(-1)(2^(4)+(1)/(2^(3)))+ up to terms is cot^(-1)((1+2^(n))/(2(2^(16)-1))), then find the value of n.

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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (4)(FILL IN THE BLANKS)
  1. cot^(-1) (2^2+1/2)+cot^(-1) (2^3+1/2^2)+cot^(-1)(2^4+1/2^3)+…… oo

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