If we have two sequences and the ratio of their limit is greater than zero, why does this mean that they either both converge or diverge? I don't understand why the test works.(adsbygoogle = window.adsbygoogle || []).push({});

Also, what about lim[(1/x)/(1/x^2)] = lim x = ∞?

The series of 1/x^2 converges but series of 1/x diverges...

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# Limit comparison test intuition

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