Limits...

Calculus Level 3

limnm=1ntan111+m+m2=?\large \lim_{n \to \infty} \sum_{m=1}^n \tan^{-1} \frac 1{1+m+m^2} = ?

Note: tan1x(π2,π2)\tan^{-1} x \in \left(-\dfrac \pi 2, \dfrac \pi 2 \right)

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