Ratio test for series and simple proof!

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\sum_{n=1}^\infty a_n,
where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.[1]
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I need to point out that it is the absolute value that needs to be less than one in order for the series to converge. For instance the series will converge if the limit is -1/2.

johnholme
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Great video, just started studying sums and this video was great

TIMSO
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There's nothing magical about the number e. It's a number just like all the others. You're a mathematician, not a wizard.

gentlemandude