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

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Homework Help Overview

The discussion revolves around finding the limit of the expression (n)^(0.5) / ln(n), which falls under the subject area of sequences and limits in calculus.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to find the limit and suggests they obtained infinity. Another participant mentions L'Hôpital's rule as a potential method. A question arises regarding the convergence or divergence of the sequence, with a suggestion to use the limit comparison test.

Discussion Status

The discussion is ongoing, with participants exploring different methods and interpretations. There is a suggestion of using L'Hôpital's rule, but also a clarification that the limit comparison test is not applicable to sequences.

Contextual Notes

Participants are navigating the distinction between tests applicable to series versus sequences, indicating a potential misunderstanding of the relevant concepts.

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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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