jee-main 2023 Q75

jee-main · India · session1_01feb_shift1 Not Maths
$\lim_{n \to \infty} \left(\frac{1}{1+n} + \frac{1}{2+n} + \frac{1}{3+n} + \ldots + \frac{1}{2n}\right)$ is equal to:
(1) 0
(2) $\log_e 2$
(3) $\log_e \frac{3}{2}$
(4) $\log_e \frac{2}{3}$
$\lim_{n \to \infty} \left(\frac{1}{1+n} + \frac{1}{2+n} + \frac{1}{3+n} + \ldots + \frac{1}{2n}\right)$ is equal to:\\
(1) 0\\
(2) $\log_e 2$\\
(3) $\log_e \frac{3}{2}$\\
(4) $\log_e \frac{2}{3}$