The value of loge2 is (A) 1+ 1/2i + 1/3i + 1/4i + ... (B) 0 (C) 1 - 1/2 + 1/3 - 1/4 + ... (D) More than one of the above (E) None of the above

Question

The value of log_e2 is 

(A) \(1 + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + ...\)

(B) 0

(C) \(1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + ...\)

(D) More than one of the above 

(E) None of the above

Answer 1

Correct option is (C) \(1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + ...\)