Rachel M.

asked • 10/19/23

does this series converge or diverge

1 - (*4)/4! + (2*4*6)/6! - (2*4*6*8)/8!

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Paul M. answered • 10/19/23

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Careful application of the ratio test shows that this series converges

If you do not know how to use the ratio test, please comment so that I can help further.

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Rachel M.

we haven't learned the ratio test yet in this class. This section wants use to use the alternating series test, but I don't know how to do that with the !.
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10/19/23

Paul M.

tutor
The Leibnitz test only requires that the terms decrease in absolute value which is easy to show since the denominator will have only all the odd terms and the numerator will be 1.
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10/20/23

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