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: Power Series(Radius and interval of convergence)

  1. Dec 10, 2009 #1
    hey there.. i hope u guys can help me..
    the question is...
    Determine the interval and radius of convergence of the power series below..

    i've already find the radius, r = 0
    c - r < x < c + r
    3 - 0 < x < 3 + 0
    hence, x = 3

    when x = 3..
    [tex]\sum\limits_{k=0}^\infty[/tex]k!(3-3)^k = 0

    so.. the interval of convergence is 0
    am i do it right?
  2. jcsd
  3. Dec 10, 2009 #2


    User Avatar
    Science Advisor

    No, the interval of convergence is an interval- a set of points, not a number. Since the radius of convergence is 0, the "interval" of convergence is the single point {3}
  4. Dec 10, 2009 #3
    Got it!!! Thanks!! =)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook