sambellamy
Junior Member
- Joined
- Oct 21, 2014
- Messages
- 53
Hello. I am working with a problem where we're asked to determine whether the series in convergent or divergent, and if it is convergent, to find what it converges to:
Σn=1∞ (3/5n + 2/n)
I have determined that the 3/5n portion is a geometric series, with a=3 and r=1/5, and the limit of the partial sums is 15/4. I am not sure how to deal with 2/n however. I understand it is not simply the limit of 2/n, which I know to be zero, but the sum of 2/n as n increases without bound (2+1+2/3,+...). should I also categorize this as a geometric series, and how so?
Thanks in advance.
Σn=1∞ (3/5n + 2/n)
I have determined that the 3/5n portion is a geometric series, with a=3 and r=1/5, and the limit of the partial sums is 15/4. I am not sure how to deal with 2/n however. I understand it is not simply the limit of 2/n, which I know to be zero, but the sum of 2/n as n increases without bound (2+1+2/3,+...). should I also categorize this as a geometric series, and how so?
Thanks in advance.