This is harder than it looks. My supervisor and I got stuck on it!Use the comparison test to determine whether each of the following series converges or diverges.
Here's what I tried:
This was the closest I got. I have to find a way to get rid of since that's the only one that diverges.
However, i'm assuming that the sequence is convegent since I couldn't get it to diverge by the comparison test either!
Your only goes one way so I can't use the limits of the numerator and the denominator to imply that the fraction will either converge or diverge.
Am I applying the limit form of the comparison test to the wrong sequence?