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Math Help - Limits

  1. #1
    Member
    Joined
    Apr 2008
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    191

    Limits

    I need some guidance how to solve the following problem (I have no idea how to get started so any help or explanation would be greatly appreciated):

    Question:

    Show that if C is any straight line through (0,0) then \lim_{(x,y) \to (0,0)} along C exists and equals 1.
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  2. #2
    Senior Member
    Joined
    Dec 2008
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    To get started, you may use the fact that 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\le 0 and f(x,y)=1.
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