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Feb24-09, 03:08 AM
Sci Advisor
HW Helper
P: 4,300
Well, b seems rather straightforward, just plug it in.

For c, you could show that there is a point for which the limit value depends on the path you take. For example, showing that
[tex]\lim_{x \to 0} F(x, 0) \neq \lim_{y \to 0} F(0, y)[/tex]
would prove that F is not continuous at (0, 0) because then it shouldn't matter how you get to (0, 0). I think that b should give you a hint on which point and paths to consider :)