$$\lim_{n \to \infty} \left(\frac{1}{1+n} + \frac{1}{2+n} + \frac{1}{3+n} + \ldots + \frac{1}{2n}\right)$$ is equal to :-

A

0

B

$$\log_e 2$$

C

$$\log_e \frac{3}{2}$$

D

$$\log_e \frac{2}{3}$$