Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Sequences & Series (Convergence)
The series, \(\sum_{n=0}^{\infty} \frac{x^n}{x+n}\), (x > 0)
(A). converges if x < 1
(B). diverges if x > 1
(C). diverges if x ≥ 1
(D). converges if x ≤ 1
Choose the correct answer from the options given below:
1
(A) and (B) only.
2
(B) only.
3
(A) and (C) only.
4
(B) and (D) only.