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!

Power series

  1. May 8, 2005 #1

    quasar987

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    If I evaluate the power serie

    [tex]y(x) = \sum_{n=0}^{\infty}a_nx^n[/tex]

    at x = 0, the first term is [itex]a_0(0)^0[/itex]. But 0^0 is undefined, is it not? How is this paradox solved?
     
  2. jcsd
  3. May 8, 2005 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Because that notation for power series doesn't really mean you're supposed to compute 0^0 to get the n=0 term.

    Though, some sources will prefer to write that series as

    [tex]y(x) = a_0 + \sum_{n=1}^{\infty}a_nx^n[/tex]

    to remove any confusion. (The two mean the same thing, though)
     
    Last edited: May 8, 2005
  4. May 8, 2005 #3

    quasar987

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I didn't know that. They don't tell us about any of the subtelties of anything at school. They're totally useless.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Power series
  1. Power series (Replies: 1)

  2. Power Series (Replies: 1)

  3. Power Series (Replies: 2)

Loading...