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So I'm confused. Are they using convergence in a different context or what am I missing?

- Thread starter kuahji
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- #1

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So I'm confused. Are they using convergence in a different context or what am I missing?

- #2

quasar987

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It is (1+x/n)^n that converges to e^x, not the *sum* of that.

And actually, you can use this fact to show that the series in your problem diverges. You know that (1-3/n)^n converges to e^{-3}, which is not 0, hence the series diverges.

And actually, you can use this fact to show that the series in your problem diverges. You know that (1-3/n)^n converges to e^{-3}, which is not 0, hence the series diverges.

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Thanks for the reply. I see that I obviously got confused ^_^.

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