Limit of 10^n/n as n-> infinity

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    Infinity Limit
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Homework Help Overview

The discussion revolves around evaluating the limit of the expression 10^n/n! as n approaches infinity, which falls under the topic of limits in calculus.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants discuss the behavior of the numerator and denominator as n increases, with one suggesting that the limit approaches 0, while another questions this assertion by highlighting the comparative growth rates of the numerator and denominator.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the limit and questioning the assumptions behind their reasoning. There is no explicit consensus on the limit's value at this stage.

Contextual Notes

One participant notes that the original poster should have posted the question in the 'Homework Questions' section for potentially quicker responses, indicating a guideline for posting in the forum.

ayandas
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Hi,

Can anyone please suggest a solution to the problem:

lim 10n/(n!)
n->(infinite)
 
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When n is large, the numerator is much larger than the demoninator, so the limit is 0, surely?
 


Are you sure? When n is small, the numerator is larger, but when n gets large, the denominator is actually larger.

EDIT: Next time, put a question like this in the 'Homework Questions' section. That's where it should be, and you'll also probably get a response faster that way.
 


My bad, got the names the wrong way round ;)
 


No worries, just didn't want to confuse the OP!
 

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