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Math Help - Limit for multivariable calculus

  1. #1
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    Limit for multivariable calculus

    Question Details:
    My question asks to find the limit of f(x,y) = y/x but they tell you that
    Then you have to find the limit for (0,0).

    I don't understand how the inequality works. When I look at the limit just using the regular definition of a limit, you get that the limit DNE.

    I don't know what to do next.
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  2. #2
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    Quote Originally Posted by kelaroo View Post
    Question Details:
    My question asks to find the limit of f(x,y) = y/x but they tell you that
    Then you have to find the limit for (0,0).

    I don't understand how the inequality works. When I look at the limit just using the regular definition of a limit, you get that the limit DNE.

    I don't know what to do next.
    There is no limit. If y=0 then the limit is zero. If y=x then the limit is 1. Therefore the limit cannot exist.
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  3. #3
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    ok, i understand that it DNE.

    is there any purpose for the inequality?
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  4. #4
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    Quote Originally Posted by kelaroo View Post
    is there any purpose for the inequality?
    No
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