Results 1 to 2 of 2

Math Help - Inequality:

  1. #1
    Member great_math's Avatar
    Joined
    Oct 2008
    Posts
    132

    Inequality:

    Show that e^n>\frac{(n+1)^n}{n!} where n is an integer
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Twig's Avatar
    Joined
    Mar 2008
    From
    Gothenburg
    Posts
    396
    boy, do I suck at this stuff.

    This cant be done by induction?

    It holds for n = 1.

    Assume it holds for n=k, prove it holds for n=k+1.

    e^{k+1}=e^{k}\cdot e > \frac{(k+1)^{k}}{k!} \cdot e

    Im not saying this is correct at all, just giving some thoughts! =)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: January 11th 2011, 09:20 PM
  2. Replies: 3
    Last Post: December 12th 2010, 02:16 PM
  3. inequality
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: July 26th 2010, 05:34 AM
  4. inequality
    Posted in the Algebra Forum
    Replies: 4
    Last Post: July 24th 2010, 01:08 PM
  5. Inequality
    Posted in the Algebra Forum
    Replies: 0
    Last Post: October 8th 2009, 04:06 AM

Search Tags


/mathhelpforum @mathhelpforum