1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Defintion of e as a limit

  1. Sep 18, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that [tex] x_n = \left(1 + \frac{1}{n}\right)^{n+1}[/tex] is decreasing and bounded below

    2. Relevant equations

    3. The attempt at a solution
    I have tried all sorts of things and none some to be working. I tried expanding it using the binomial theorem, but there are more terms in [tex] x_{n+1} [/tex] than [tex] x_n [/tex] so i didn't see an easy way to compare them. I tried looking at [tex] \frac{x_{n+1}}{x_n} [/tex] and [tex] x_nx_{n+1} [/tex] with nothings giving me and progress. Any suggestions?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted