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: Residue of a series.

  1. Apr 23, 2017 #1
    1. The problem statement, all variables and given/known data
    Use a laurent series to find the indicated residue
    [itex] f(z)=e^{\frac{-2}{z^2}} [/itex]
    2. Relevant equations

    3. The attempt at a solution
    So I expand the series as
    follows [itex] 1-\frac{2}{z^2}+\frac{2}{z^4} ...[/itex]
    my book says the residue is 0 , is this because there is no residue term ?
    the [itex] a_{-1} [/itex] term
    Last edited: Apr 23, 2017
  2. jcsd
  3. Apr 23, 2017 #2


    User Avatar
    Science Advisor
    Gold Member
    2017 Award

  4. Apr 23, 2017 #3
    ok just wanted to make sure
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted