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Sum the following series to infinity :...

Sum the following series to infinity : `tan^(-1)(1/(1+1+1^2))+tan^(-1)(1/(1+2+2^2))+tan^(-1)(1/(1+3+3^2))+.................`

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2tan^(-1)((1)/(3))+tan^(-1)((1)/(2))=

Sum to n terms the series tan^-1 (1/(1+1+1^2))+tan^-1 (1/(1+2+2^2))+tan^-1 (1/(1+3+3^2))+…

tan(tan^(-1)((1)/(2))-tan^(-1)((1)/(3)))=

tan^(-1)2-tan^(-1)1=tan^(-1)(1/3)

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tan^(-1)1+tan^(-1)2+tan^(-1)3=