Calc III Question ? *****


Show that the following limit does not exist. 
                                             2
                                          x y
                               f(x, y) = -------
                                          2    4
                                         x  + y
The limit does not exist because:
  • The limits along the path y=a x depend on a.
  • The limits along the path y=a x^3 depend on a.
  • The limits along the path y=a x^(1/2) depend on a.
  • The limits along the path y=a x^4 depend on a.
  • Limits of the form 0/0 are not defined and do not exist.
    • *****
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    Carlos Rodriguez <carlos@math.albany.edu>
    This problem was contributed by a student. It is offered as it is with no warranty of any kind
    Last modified:Fri Mar 23 15:18:10 GMT-0500 (EST) 2001