
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
December 28th, 2017, 01:41 PM  #1 
Senior Member Joined: Dec 2015 From: Earth Posts: 204 Thanks: 26  How to solve limit
$\displaystyle \lim _{n \rightarrow \infty} \frac{n}{\sqrt[n]{n!}} $ $\displaystyle n\in N$ 
December 28th, 2017, 03:51 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,704 Thanks: 1529 
If you're allowed to use Stirling's formula, it's straightforward to show that the limit is $e$.


Tags 
limit, solve 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How to solve this limit?  Jelena  Calculus  1  February 20th, 2018 11:21 PM 
Can anyone solve this limit?  Addez123  Calculus  3  October 25th, 2016 09:58 AM 
How you solve this limit  complicatemodulus  Calculus  21  November 23rd, 2015 07:38 AM 
How to solve this limit  Bhushan  Calculus  7  May 13th, 2013 07:40 PM 
solve limit  kevpb  Calculus  1  January 20th, 2012 01:27 AM 