Evaluate lim n- 1 n 2 -1 - 1 n 2 -2 - 1 n 2 -3 - n n 2 -n

lim _ n→∞ #160; ( 1 / n ^ 2 +1 + 1 / n ^ 2 +2 + 1 / n ^ 2 +3 +......+ n / n ^ 2 +n #160; ) #160; Now dividing both numerator and denominator by ...

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Proof by mathematical induction

Evaluate li...

Question

Evaluate $lim n \to \infty (\frac{1}{n^{2} + 1} + \frac{1}{n^{2} + 2} + \frac{1}{n^{2} + 3} + . . . + \frac{n}{n^{2} + n})$

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