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I see that the limit as n goes to infinity is zero but that does not prove C or D. It seems like it would be divergent but why? How can that be shown?

Any direction/help would be greatly appreciated.

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- Thread starter srfriggen
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- #1

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I see that the limit as n goes to infinity is zero but that does not prove C or D. It seems like it would be divergent but why? How can that be shown?

Any direction/help would be greatly appreciated.

- #2

Dick

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Try an integral test. Do you know that one?

- #3

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I also notice I can't do a comparison to 1/n since 1/n > 1/2n.

Would the argument 1/2 * 1/n = 1/2 x divergent = D make sense?

- #4

Dick

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I also notice I can't do a comparison to 1/n since 1/n > 1/2n.

Would the argument 1/2 * 1/n = 1/2 x divergent = D make sense?

Sure. If a series is divergent, then any nonzero constant times the series is also divergent. That's true. But do you have a theorem or something to justify it rather than just writing divergent*(1/2)=divergent? That just seems a little sloppy.

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