PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Analysis Sequences & Series (Convergence)
The sum of the series \(\rm \displaystyle\sum_{n=1}^{\infty} \frac{2 n+1}{\left(n^2+1\right)\left(n^2+2 n+2\right)}\) is equal to ___________. (rounded off to two decimal places)
Enter numerical value using the virtual keypad. Round off where necessary.