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Limit of function of several variable

  1. Nov 28, 2011 #1
    1. The problem statement, all variables and given/known data

    lim(x,y)->(0,0) x2y / 2x3-y3
    2. Relevant equations

    3. The attempt at a solution
    I found lim f(x,0)=0 and lim f(0,y)=0.So i assume limit exists and equals 0?
    I would like to get some tips on how to solve this type of problems?Do I always find f(x,0) and f(0,y)?Because I always seem to get 0 as the answer when I do that.

    Thanks in advance =)
  2. jcsd
  3. Nov 28, 2011 #2


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    Try taking the limit along the line x=y. There are more than two ways for (x,y) to approach (0,0).
  4. Nov 28, 2011 #3
    hi thanks!
    means I can try any ways in hope that one way will prove that limit does not exist?
    how can i prove that limit exist then?
    thanks =)
  5. Nov 28, 2011 #4

    I like Serena

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