Limit of (n)^(.5)/ln n to Finding the Limit of a Sequence

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The discussion focuses on finding the limit of the sequence (n)^(0.5) / ln(n). One participant initially concludes that the limit approaches infinity, which is confirmed by others. The conversation shifts to determining the convergence or divergence of the sequence, with a suggestion to use the limit comparison test. However, it is clarified that the limit comparison test is applicable to series, not sequences. The thread emphasizes the need for appropriate methods when analyzing sequences versus series.
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Homework Statement


How to find the limit of :
(n) ^(.5) / ln n


Homework Equations





The Attempt at a Solution



I tied doing it, I got inifity, is that right ?
 
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Yes. L'Hopital.
 
Uha, and what if I want determine the Convergence or Divergece of it ?

What test to use?

I think, that we should " limit of comparision test"
 
The limit comparison test is for series, not sequences.
 

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