please solve

Σ cot-12n2
n→∞

3 Answers

11
sagnik sarkar ·

cot-12n2=tan-11/2n2
=tan-1(2/4n2)=tan-1[(2n+1)-(2n-1)]/1+4n2-1
=tan-12n+1-tan-12n-1

Find sum upto n terms and aplly limit!

1
dmaga ·

thanks

1
dmaga ·

i tried like
tan-1(1/2+2nn-2)=tan-1[(n+1)-(n-1)]/1+(n+1)(n-1)

and they didnt cancel

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