Examine the following series for convergence:

- Hitaro9

Examine the following series for convergence:

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- Hitaro9

|dw:1442906412331:dw|

- Hitaro9

Eugh sorry that looks terrible. Wanted to get something down real fast

- Hitaro9

Sum of (a^k/k^p) where a> 0 and p>0

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- Empty

` \[\sum_{k=1}^\infty \frac{a^k}{k^p} \]`
\[\sum_{k=1}^\infty \frac{a^k}{k^p} \]

- Hitaro9

Right. Thank you. I should take the time to learn that since I'll probably be frequenting this site more often >.<

- Empty

Hahaha it's fine I was just trying to help so you could see what it looks like and play around, I'm still a little distracted and so I just went ahead and put that, I'll help in a minute

- Hitaro9

Alright then. Thank you. 1 other tiny technical thing, when I post a message there's like a ghost message that remains in the box and I have to refresh to be able to type again. Have you ever seen that?

- Empty

Yeah the site itself here is pretty terrible unfortunately.

- Empty

Ahhh alright, so I'm free now, admittedly it's been a while since I've done this so I'm not entirely sure but you might be able to confirm, this looks like something the ratio test will be able to show us convergence on, have you tried that yet?

- Hitaro9

Oh wait, I did check that but I realize I made a dumb mistake. Let me double check some things

- Hitaro9

So taking the k+1 over the kth term we have the limit as k goes to infinity of
a(k^p) / (k+1)^p|dw:1442907554307:dw|

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