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Homework Help: Find the limist if it exists for a 3-variable function

  1. Oct 2, 2009 #1
    1. The problem statement, all variables and given/known data
    lim(e^(-x*y) * sin( pi * z/2) as (x,y,z) approaches (3,0,1)

    2. Relevant equations

    3. The attempt at a solution
    i know how to find the limit exists or not for a 2-variable function which is just set x=o;y=0;x=y
    how can this method applies here
  2. jcsd
  3. Oct 2, 2009 #2
    Remember that the first approach when computing any limit is to just substitute the point that you are approaching.
  4. Oct 2, 2009 #3


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    Science Advisor
    Homework Helper

    And think about whether the function is continuous there, right?
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