roam
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Homework Statement
http://img40.imageshack.us/img40/39/20688555.gif
a) Show that if C is any straight line through (0,0) then \lim_{(x,y) \to (0,0)} along C exists and equals 1.
b) Show that the limit as (x,y) -> 0 doesn't exist.
Homework Equations
The Attempt at a Solution
I really need help with this question! I know that x2 is a parabola and any straight line through the origin either intersects the parabola at some point and remains above it until 0 is reached (or lies on y=0, in which case y \leq 0 and f(x,y) = 1) but still I don't know how to "prove" part a).
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