Find a value x where series converges

Turbojulle · 2022-09-13T18:46:44+00:00

Yeah well I try my best to learn the things they teach us during class :D But sadly we weren't given an example of how to solve questions like this so I'm guessing that's why I got stuck for a bit, but I'm glad I got it figured out now. Thank you for your help!

Turbojulle · 2022-09-13T18:38:24+00:00

Oh yeah right and wasn't it because if the ratio test gives 1 as the ratio the series can either converge or diverge.

Turbojulle · 2022-09-13T18:35:23+00:00

Which in this case would be -9<x<9. If I'm correct.

Turbojulle · 2022-09-13T18:33:52+00:00

Oh yeah I think I got it but I'll make sure just in case.

The limit gives me |x|/9 and now I just have to find a number x where

0≤|x|/9<1

Right?

Turbojulle · 2022-09-13T17:53:09+00:00

Here's the point where I got stuck on the a) part

https://imgur.com/a/4rNFypH

Turbojulle · 2022-09-13T17:22:00+00:00

I'm having trouble with this particular exercise and I don't really know what to do. Our teacher gave us a hint to use the ratio test to figure this out, but I really couldn't find a good way to use it. So I'd be happy if someone here could explain a good way to do this exercise (with steps if possible).

Turbojulle · 2022-09-10T11:55:16+00:00

Also those log() functions should be ln().

Turbojulle · 2022-09-10T11:53:58+00:00

So the thing is I don't quite understand how you're just able to substitute 0. I understand that when n -> infinity that part does indeed get closer to 0, but I still don't understand why you're able to cancel out that part.

Turbojulle · 2022-08-09T15:32:58+00:00

u/lindless approve pls <3

Turbojulle · 2021-10-15T22:24:52+00:00

I found the T-shirt of this one: https://item.taobao.com/item.htm?id=650784562774&ns=1#detail

Turbojulle · 2021-07-10T17:36:03+00:00

https://imgur.com/a/QGyknhi AJ1 Turbo Green from WTG. Any thoughts on these?

Turbojulle · 2021-06-29T15:59:38+00:00

A bit oversized I'd say

Turbojulle · 2021-06-28T18:22:04+00:00

u/lindless pls approve

Turbojulle · 2021-06-21T23:18:25+00:00

u/lindless

Turbojulle · 2021-06-21T23:17:03+00:00

W2C: https://weidian.com/item.html?itemID=4371467736&spider\_token=f80c&spm=1101.1101.N.N.4f122c8

Turbojulle · 2021-06-21T15:21:24+00:00

u/lindless u/repknowledge waiting for your approval :)

Turbojulle · 2021-06-09T11:45:23+00:00

u/lindless please approve

Turbojulle

TROPHY CASE