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## Homework Statement

http://img40.imageshack.us/img40/39/20688555.gif [Broken]

a) Show that if C is any straight line through (0,0) then [tex]\lim_{(x,y) \to (0,0)}[/tex] 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 x

^{2}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 [tex]y \leq 0[/tex] and [tex]f(x,y) = 1[/tex]) but still I don't know how to "prove" part a).

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