How Do You Calculate the Limit of a Factorial?

  • Thread starter Thread starter joghurt
  • Start date Start date
  • Tags Tags
    Factorial Limit
Click For Summary

Homework Help Overview

The discussion revolves around calculating the limit of a factorial, specifically exploring the behavior of factorials as they approach infinity. The subject area includes limits and factorial functions within calculus.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants question the original poster's attempts and suggest evaluating specific values of x to gain insight. There are references to known inequalities involving factorials and powers, as well as discussions about evaluating limits involving factorials.

Discussion Status

The discussion is ongoing, with participants providing hints and prompting the original poster to engage more deeply with the problem. Some have offered insights that may guide further exploration of the limit, but there is no explicit consensus on the approach or solution yet.

Contextual Notes

There is a suggestion that the original poster may not have attempted calculations or explored the problem sufficiently, which could impact their understanding of the limit in question.

joghurt
Messages
2
Reaction score
0
Please can anybody help me find this limit?
 

Attachments

  • limit.jpg
    limit.jpg
    1.7 KB · Views: 445
Physics news on Phys.org
It's hard to believe you are serious. Have you done anything on this yourself? Have you tried, for example, calculating values for, say, x= 10, 1000, etc.?
 
I studied the limit but not this type

this question is older than me :)
 
Last edited:
Just a few things that should have made this limit quite obvious -

[tex]n! < n^n, n > 2[/tex]

[tex]n^2 > n[/tex]

Perhaps you have seen how to evaluate the common [tex]\lim_{n\to \infty} n^{\frac{1}{n}}[/tex]?
 
Gib Z: Tanks a lot.
 

Similar threads

Help calculating this limit please
  • · Replies 5 ·
Replies
5
Views
1K
Using Poisson random variables to calculate this probability
  • · Replies 1 ·
Replies
1
Views
1K
Prove that the limit as n->infinity of n^n/n! is infinity
  • · Replies 7 ·
Replies
7
Views
2K
Jacobian: how to change limits of integration?
  • · Replies 16 ·
Replies
16
Views
3K
Simplifying Combination Formula: \binom{n}{\frac{n}{2}} using Factorial Formula
  • · Replies 4 ·
Replies
4
Views
1K
Hexadecimal and factorial problem
  • · Replies 5 ·
Replies
5
Views
4K
How should I show that the index of a limit cycle is ## 1 ##?
  • · Replies 1 ·
Replies
1
Views
2K
Convergence of Factorial Function: Is Stirling Approximation Necessary?
  • · Replies 10 ·
Replies
10
Views
4K
How Do You Find the Limit of the Series S_n = \dfrac {3}{8}⋅\dfrac {4^n}{3^n}?
  • · Replies 2 ·
Replies
2
Views
1K
How do we get from one step to another in these factorial equations?
  • · Replies 25 ·
Replies
25
Views
2K