Limit proof

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February 16th 2010, 08:23 AM
antero

Limit proof

How to prove that lim√nlogn=+ ∞ as n goes to ∞? Is it |√nlogn - ∞|< e as n>ne or...?
February 16th 2010, 09:44 AM
Plato

Beause $\sqrt n \geqslant \frac{{\ln (n)}}{2}$ then $\sqrt n \ln (n) \geqslant \frac{{\left[ {\ln (n)} \right]^2 }}{2}$ .
Use comparsion.

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