Question

Need help with a root test problem (Calculus)!

Answer 1

I know how to start it up, I'm confused on what to do with the two terms however.

Answer 2

i would subtract first

Answer 3

same

Answer 4

okay.

Answer 5

start with
\[\sum\left(\frac{n^6-1}{n^{10}}\right)^n\]

Answer 6

Alright, I got that. So, I could take the nth root of that, right?

Answer 7

\[\lim_{n \rightarrow \infty} \sqrt[n]{|a_n|}\] I'm assuming you know all the rules as in figuring out if it's convergent inconclusive, diverges, if not just ask.

Answer 8

i would use the eyeball test

Answer 9

Yeah, I got the basics down.

Answer 10

So, I would end up with the limit as n goes to infinity of \[\sum_{0}^{\infty} (n^6-1)/(n^10)\]

Answer 11

I meant to put it as n^10 on the bottom.

Answer 12

Yeah they should really put absolute convergent

Answer 13

Okay, I think I can manage with the rest.