L'Hospital's rule.

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How do I show that log^kN is o(N) (small o) for any constant k.
I am so confused with the derivative of log^kN .. i got k (logN) ^ (k-1) but I don't know what to do next.

Lim n→ ∞ log^kN/N

thanks in advance

Posted 1-Feb-11 17:32pm

bowww

Updated 1-Feb-11 17:43pm

m@dhu

v2

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OriginalGriff · Answer 1 · 2011-02-01T21:19:00

The best suggestion I can give is to have a look at Wolfram Alpha Mathworld: http://mathworld.wolfram.com/LHospitalsRule.html[^] - start here and see what you can find.
If nothing else, it may explain it better than we could because it has all those funny little symbols we only used for APL...