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Limits in 3D

  1. Sep 4, 2010 #1

    Char. Limit

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    Gold Member

    So, there was a big long post here with examples and such, but then my internet crashed. So screw the examples, I'll just get straight to my question.

    When seeing if a limit exists in 3d (with the limit being (0,0)), I noticed that we often try the lines x=0 and y=0 first. Are these always the best lines to try, or are there others that seem intuitive? If both of these go to the same number, what should I try next?
     
  2. jcsd
  3. Sep 4, 2010 #2
    In general, trying y = mx is always nice. You pick whatever is easy, or whatever looks like it would cause a contradiction.

    You can always try polar if it looks like it would work. If it works in polar, it covers all cases.
     
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