Pirates & Revolutionaries: The nth-Term Test for Divergence in Edwards & Penney

Pirates & Revolutionaries

"if you think childlike, you'll stay young. If you keep your energy going, and do everything with a little flair, you're gunna stay young. But most people do things without energy, and they atrophy their mind as well as their body. you have to think young, you have to laugh a lot, and you have to have good feelings for everyone in the world, because if you don't, it's going to come inside, your own poison, and it's over" Jerry Lewis "I don’t believe in the irreversibility of situations" Deleuze

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.

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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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