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Math Help - Limit

  1. #1
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    Limit

    Hi everybody,

    f is a function such as \lim_{x\to x_0} f(x)=A, and g is also a function such as \lim_{x\to x_0} g(x)=B, how to show that \lim_{x\to x_0} f(x)+g(x)=A+B..


    And great thanks.
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  2. #2
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    Re: Limit

    Quote Originally Posted by sciencebetter View Post
    f is a function such as \lim_{x\to x_0} f(x)=A, and g is also a function such as \lim_{x\to x_0} g(x)=B, how to show that \lim_{x\to x_0} f(x)+g(x)=A+B..
    |(f(x)+g(x))-(A+B)|\le |f(x)-A|+|g(x)-B|
    You have "control" over the size of both |f(x)-A|~\&~|g(x)-B|.
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