lim n → ∞ (1/1+n + 1/2+n + 1/3+n + .... + 1/2n) is equal to

Question

\(\lim\limits_{n\to \infty} \left(\frac 1{1 + n} + \frac 1{2 + n} + \frac 1{3 + n} + ....+ \frac 1{2n}\right)\) is equal to

(1) 0

(2) log_e2

(3) log_e(3/2)

(4) log_e(2/3)

Answer 1

Correct option is (2) log_e2