For a problem such as [tex]\sum[/tex] (1-3/n)^n with the sum going from 1 to infinity, the textbook shows to use the nth term test & that it diverges. However in a previous chapter the textbook had a theorem that said the limit of [tex]\sum[/tex] (1+x/n)^n will converge to e^x for any number x.(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Homework Help: Nth term test & convergence

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