How can I prove that something converges using the limit comparison test when I can't seem to find something to which it compares?

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Answer :

answer:Um… I did this sort of maths too long ago… But did you consider the fact that both the denominator and numerator share the same ^3 thing? So you can take it outside? In other words, if you’re finding limit of [(ln n)/n]^3, as n approaches infinity. And doesn’t the limit of (ln n)/n approach a definite value as n tends to infinity? Hopefully this will point you in the right direction. Unless I’m completely wrong about it, in which case I do apologise.

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