1. Feb 10, 2007 #1

   kasse

   

   Evaluate the liit of (x^4+y^4)/((x^2+y^2)^(3/2)) when (x,y) approaches (0,0)
   
   I'm trying to replace x and y with rcost and ycost, but it seems too complex. How can I abbreviate the equation?
   ................
   
   I solved it myself...The limit is 0.

    

   Last edited: Feb 10, 2007

   kasse, Feb 10, 2007
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3. Feb 10, 2007 #2

   lalbatros

   

   No need to abbreviate, just analyse the r dependence,
   and check that the angular dependence is a has no singularity.
   
   And indeed you are right: 0 is the limit.

    

   lalbatros, Feb 10, 2007

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