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Aug
27
comment Convergence demonstration?
thank you! although, from where do we get that $|a|<1$? I mean, $|a|$ could just as easily have a value bigger than $1$; or are both cases possible? that is, as per the ratio test, the series will converge if $|a|<1$ and it will diverge if $|a|>1$?
Aug
27
comment Convergence demonstration?
@DrKW sorry, that was supposed to be a comma. And yes, I'd appreciate an explanation of how the ratio test works.