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Math Help - calc help (limit and continuity of a multivariable equation)

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    calc help (limit and continuity of a multivariable equation)

    I need help with a math problem or else Ms. Vick will lower my grade.

    How do I find the limit and determine the continuity of this equation?

    lim x*e^(yz)
    (x,y,z) -> (2,0,1)


    Thanks.
    Last edited by me > jallison + brownie; February 26th 2006 at 02:18 PM. Reason: title messed up
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    Quote Originally Posted by me > jallison + brownie
    I need help with a math problem or else Ms. Vick will lower my grade.

    How do I find the limit and determine the continuity of this equation?

    lim x*e^(yz)
    (x,y,z) -> (2,0,1)


    Thanks.
    The first question to ask when you are doing a limit: "Is there anything to stop the variables from taking on those quantities?" In particular, things to look out for that can happen are 0/0, \, \infty/ \infty, \, 0^0 and practically anything else that isn't well defined.

    In this case nothing bad is going on. e^(0*1) is pretty tame and there's nothing to stop x from being 2. So basically you can just plug in the values for x, y, and z.

    I can't help you with continuity, because you haven't listed an equation!

    -Dan
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