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Alternating Series Estimation Theorem

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Uploaded by on Apr 22, 2008

Alternating Series Estimation Theorem -The basic idea along with a couple of examples are shown. For more free math videos, check out http://PatrickJMT.com

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Uploader Comments (patrickJMT)

  • Youre a boss Pat

  • @geebauer just doin' what i can

  • Error is at most size of first neglected term

    That makes a lot of sense. Why bother with the whole rn > s-sn? I should tell my prof to just say that. <__<

  • @iammaxhailme well, this only works for alternating estimation theorem

  • Awesome. I missed class Thursday, so now I'm getting caught up. This theorem is actually really cool when you think about it.

  • @FaiththeHairstylist yep, and it makes total sense!

Top Comments

  • what I say?:)

    You are awesome

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All Comments (85)

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  • Thank you so much. This went right over my head in class lol.

  • your videos are now an essential part of my studying. Thank you very much!

  • Thank you Patrick! It is very helpful!!!

  • I have a test in an hour and didn't understand this stuff. Now I do. Thanks so much, you're my pre-test ritual.

  • Hi Patrick. If I want to solve it algebraically, and within 0.001, do I set a of n equal to 0.001? Thanks

  • Hi Patrick. If you don't mind could you help me please?

    So I have to find 3 diffrent values of u

    ( (-1) ^n * (1/(1-u))* 4n ) / (2n)! = -1/2

    I tried to do with estimation...but I have no idea...

    then I tried to do limit comparaison, but it does not tell me the sum of the series.

    or should I use Taylor theoreme?

    Please I am literally begging you how to solve this.

    Thank you

  • Is it correct to assume that this will work for an alternating power series as well, given a situation where we know what n and x equal?

  • but how do we know which one will give the answer to four decimal places if were not allowed a calculator? xD

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