- #1
roam
- 1,271
- 12
Homework Statement
Here is a worked example:
http://img79.imageshack.us/img79/1909/88760168.gif
I don't understand why they used the "limit comparison test" and not the "comparison test".
Why can't we just conclude that the series [tex]\sum^{\infty}_{n=1} (\frac{n+1}{n^2 +1})^3[/tex] converges by comparison with [tex]\frac{1}{n^3}[/tex]?
What's the necessity of using the limit comparison test?
Furthermore, I would like to know in which cases it is more suitable to use the comparison test and when to use the limit comparison test. I appreciate some guidance here. Thanks.
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