Calc III Question ? *****


Show that the following limit does not exist. 
                                             2
                                            x  + y
                                 lim        -------
                            x, y -> (0, 0)   2    2
                                            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^4 depend on a.
  • Limits of the form 0/0 are not defined and do not exist.
  • The limits along the path y=a x^2 depend on a.
    • *****
    calculator


    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 14:55:00 GMT-0500 (EST) 2001