Question
Real Analysis Question on Sequences and Series
Consider the series ∑n=1∞nm(1+np11) where m and p are real numbers. Under which of the following conditions does the above series converge?
A
m>1.
B
0<m<1 and p>1.
C
0<m≤1 and 0≤p≤1.
D
m=1 and p>1.
Answer
m>1.
Explanation
Solution
The correct option is (A): m>1.