lim n ( 1 1 + n + 1 2 + n + 1 3 + n + ? + 1 n + n ) =

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Solution

Q.
$\lim_{n \to \infty} (\frac{1}{1 + n} + \frac{1}{2 + n} + \frac{1}{3 + n} + \dots + \frac{1}{n + n}) =$

1 $\log_{e}^{2}$

2 $\log_{e}^{3}$

3 $\log_{e}^{4}$

4 $\log_{e}^{5}$

Ans.
(1)

$\lim_{n \to \infty} \sum_{r = 1}^{n} \frac{1}{r + n}, \int_{0}^{1} \frac{1}{1 + x} d x$

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