Hi. I've got a straight forward alternating series test problem: Use the A.S.T. to determine whether the series converges. We know that , but when we try to show that I am having trouble with this inequality. Help?
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Originally Posted by VonNemo19 Use the A.S.T. to determine whether the series converges. We know that , but when we try to show that I am having trouble with this inequality. Help? Can you show that is a decreasing function?
An alternative, express: Inmediately we obtain .
Originally Posted by VonNemo19 We know that The limit includes and it tends to zero anyway since boundedness of You could also show that the series converges absolutely.
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