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.

Carlos Rodriguez <carlos@math.albany.edu>
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