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: Sequence limits

  1. Dec 8, 2009 #1
    1. The problem statement, all variables and given/known data

    prove that lim(n[tex]\rightarrow\infty[/tex])(r1/n) = 1 for r> 0

    3. The attempt at a solution

    let [tex]\epsilon[/tex] > 0 be given we need to find n0 [tex]\in[/tex] N such that

    [tex]\left|[/tex]r1/n - 1 [tex]\left|[/tex] < [tex]\epsilon[/tex]

    but not really sure where to go from here?
  2. jcsd
  3. Dec 8, 2009 #2
    What if the problem was a little simpler -- proving that the limit as n approaches 0 of r^n equals 1. How would you go about doing that?
  4. Dec 9, 2009 #3
    1 < L [tex]\leq[/tex] r1/n


    1[tex]\leq[/tex] Ln [tex]\leq[/tex] r

    i'm not sure how this follows?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook