- #1
mateomy
- 307
- 0
Im practicing problems for my Calc 2 test tomorrow. I am doing this problem which I am not quite sure I've done it right. I think I have, but I want confirmation...
[tex]
\sum_{n=1}^{\infty} \frac{1}{\sqrt(n+4)}
[/tex]
I chose my comparison series as [itex]\frac{1}{\sqrt(n)}[/itex] and then ran a limit test eventually finding that it came out to equal 1, which shows that they are behaviorally similar. And since I know my comparison Series is larger than the given Series, I know the latter diverges.
Is that correct?
[tex]
\sum_{n=1}^{\infty} \frac{1}{\sqrt(n+4)}
[/tex]
I chose my comparison series as [itex]\frac{1}{\sqrt(n)}[/itex] and then ran a limit test eventually finding that it came out to equal 1, which shows that they are behaviorally similar. And since I know my comparison Series is larger than the given Series, I know the latter diverges.
Is that correct?