1 Dec 2008

The nth-Term Test for Divergence in Edwards & Penney

presentation of Edwards & Penney's work, by by Corry Shores
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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.

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