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#1 2020-05-03 07:09:37

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Alternating Series Confusion.

Hello, beloved MIF forum users,

Anyways, I'm having a little bit of difficulty regarding an alternating series problem:

AP-Classroom-2.png


AP-Classroom-3.png

Now.. I know of the alternating series estimation bound, which states that

Error-Estimation-for-Approximating-Alternating-Series-Mathonline-1.png

However, when attempting a simple plug-n-chug with the estimation above, I found that it would require ~x>2.2(i.e more than two terms) for the estimation to be within 1/300,000th of the true value.. whilst the problem states that using two terms would bring the estimation within said number.. a contradiction. Am I simply applying it incorrectly? Please advise.

desmos.png
^A quick visualization

Thank you, Mathegocart.


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#2 2020-05-05 04:55:13

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Re: Alternating Series Confusion.

Bump.. anyone seeing the issue?


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#3 2020-05-11 09:22:29

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Re: Alternating Series Confusion.

Does anyone know?


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#4 2020-05-11 21:05:59

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

Re: Alternating Series Confusion.

hi Mathegocart

Not me, sorry.  You best hope is zetafunc.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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