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Determine whether the series converges/diverges

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illusion

Oracle

Karma Points: 12,573

(University of Moncton, Canada)

Date Posted: 4/24/2008 3:55:10 AM Status: Live

Asker's Rating: Lifesaver

Response:

Ratio test

(2n+2) cancels out leaving 1 / (2n+1) which gives 0 as n tends to ∞.

Since the ratio test converges when the limit is < 1. (Here its 0 which is < 1) so it converges.

jennalee's Comment:

I checked my answer w/yours, and it was correct. Thank you so much!!!

Please rate me for the time it takes to help you!!! ty.

Did you know if you mesure the length of your arm and divide by the length of your elbow to your finger you will get

As of today in 2008, nobody in the world has found the sum of

all they know is that it converges because of the p-serie theorem but they cannot find the sum.

One of my teachers, as been working on that sum for about 5 years now, he found a concret answer (he ended up creating an instrument of that serie called ''tritare'' its pretty cool) but he has not found a mathematical expression to express it.

For more info:

http://www.seedmagazine.com/news/2006/06/the_only_thing_that_rocks_hard_1.php

My pic is the instrument called Tritare.

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Determine whether the series converges/diverges

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