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Math Help - Domain f(x,y) & Limits

  1. #1
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    Domain f(x,y) & Limits

    Hello! I just found this forum after failed attempts to get what I need from my text book; I hope someone here can help me.

    let f(x,y)=((5x^2)(y))/(2x^4+3y^2)
    - How would I get it's domain?
    - How can I determine it's limit. (I know I need to know its domain to find the limit)

    Please help.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by jillin View Post
    Hello! I just found this forum after failed attempts to get what I need from my text book; I hope someone here can help me.

    let f(x,y)=((5x^2)(y))/(2x^4+3y^2)
    - How would I get it's domain?
    - How can I determine it's limit. (I know I need to know its domain to find the limit)

    Please help.
    This function has no "problems" considering it's only plausible one would be a point which makes the denominator zero, but \forall(x,y)\in\left(\mathbb{R},\mathbb{R}\right)\  quad{2x^4+3y^2\ne{0}}

    Therefore I suppose what limit you could find would be both

    \lim_{(x,y)\to(\infty,\infty)}f(x,y)

    And \lim_{(x,y)\to(-\infty,-\infty)}f(x,y)

    Both of which equal zero.
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