Another doubt(inverse trigo)

S=Σn=1∞tan-11/(2n+21-n) (n ---1 to infinity) Find S. ANS.Π/4

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1357
Manish Shankar ·

tan-112n+21-n=tan-12-12n+21-n=tan-121-n-2-n1+21-n2-n=tan-12n-tan-12n-1=tan-12n-tan-12n-1

1
ajoy abcd ·

Thanks a lot ,I had been getting stuck in such type of problems.

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