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Math Help - Vector function- limits HELP?

  1. #1
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    Unhappy Vector function- limits HELP?

    HI guys
    Question:

    Consider the function
    f(x,y) =x^(3)y/(x^(6) + y^(2)) .

    (c) Does lim(x,y)-->(0,0) f(x,y) exist? If so, what is its value?



    I need to solve using limits definition:

    sqt((x-a)^2 + (y-b)^2 )< d such that l f(x,y) - L l < e
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  2. #2
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    Re: Vector function- limits HELP?

    Hey prosri29.

    Hint: You should get an answer that the limit does not exist since lim x->0,y=0 != lim y->0,x=0.
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  3. #3
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    Re: Vector function- limits HELP?

    Hey chiro


    I have already proved as x=0 y--->0 and as y=o x----->0 therefore limit exists and is 0.

    But I no need to determine whether a limit exists using the limit definition
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  4. #4
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    Re: Vector function- limits HELP?

    I haven't done this kind of thing for a while so unfortunately I can't help with epsilon delta stuff.
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  5. #5
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    Re: Vector function- limits HELP?

    no worries thanks for your suggestions
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