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very ergent

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Answers:

andy_up_in_cali

Scholar

Karma Points: 235

Date Posted: 4/22/2008 7:44:06 PM Status: Live

Asker's Rating: Helpful

Response:

for this series to work : 0 < = x < ∞

kingofrace78's Comment:

thanks

I am sure my answer is right....unless its wrong ....haha

ece

Expert

Karma Points: 1,095

Date Posted: 4/22/2008 7:53:26 PM Status: Live

Asker's Rating: Lifesaver

Response:

x has to be greater than zero x>o

hopes that help

kingofrace78's Comment:

thanks

illusion

Oracle

Karma Points: 12,573

(University of Moncton, Canada)

Date Posted: 4/22/2008 7:55:01 PM Status: Live

Asker's Rating: Helpful

Response:

Ratio test

The ratio test only converges when its < 1.

Using property of abs value.

Check the borders, when x = 1/e the serie becomes

so we have the serie

Only converges conditionnaly (by the alternating serie test). Without the abs value it diverges because its a geometric serie with r = -1 and it only converges when |r| < 1 which is not the case here.

Now when x = e , we get

converges

So the interval of convergence is ]1/e,e]

kingofrace78's Comment:

thanks

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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very ergent

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