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Question

Multivariable Calculus Question on Integral Calculus

The sum of the series n=12n+1(n2+1)(n2+2n+2)\sum\limits_{n=1}^{\infin}\frac{2n+1}{(n^2+1)(n^2+2n+2)} is equal to _________.(rounded off to two decimal places)

Answer

The correct answer is 0.49 to 0.51. (approx)