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Topic: p-series error bound
Replies: 19   Last Post: Mar 12, 1998 3:37 PM

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himtn@ecpi.com

Posts: 156
Registered: 12/6/04
p-series error bound
Posted: Mar 5, 1998 12:52 PM
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In my BC classes we are currently in the midst of convergence testing for
infinite series.

It seems I recall a bound on the error for a p-series was given by

abs(S-SN)<=N^(1-p)/(p-1).

However, when I check a chart of convergence tests in Larson's Calculus the
error term is missing. Could someone please offer some information about the
validity of the error bound above or correct it.

Thanks
Michael Mullen
Westwood High School
Austin, TX





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