1 Dec 2008
The nth-Term Test for Divergence in Edwards & Penney
presentation of Edwards & Penney's work, by by Corry Shores
Edwards & Penney's Calculus is an incredibly-impressive, comprehensive, and understandable book. I highly recommend it.
For example, the series
diverges, because
does not exist, because the terms continue to increase and decrease alternately in increasing magnitudes. On the other hand, the series
diverges for another reason, because for it:
from Edwards & Penney: Calculus. New Jersey: Prentice Hall, 2002, p696-697.
Labels:
divergence,
Edwards and Penney,
series,
summation
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