Math Is Fun Forum

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:

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

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.

^A quick visualization

Thank you, Mathegocart.

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

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: Alternating Series Confusion.

Bump.. anyone seeing the issue?

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

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: Alternating Series Confusion.

Does anyone know?

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Alternating Series Confusion.

hi Mathegocart

Not me, sorry.  You best hope is zetafunc.

Bob

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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