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Math Help - Limits Help

  1. #1
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    Limits Help

    I am given the following graphs:



    The graphs of and are given above. Use them to evaluate each quantity below. Write 'DNE' if the limit or value does not exist (or if it's infinity).

    1.
    2.

    3.
    4.

    I have no idea on how to solve these. The graphs have me dumbfounded. Any help would be much appreciated.
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  2. #2
    MHF Contributor red_dog's Avatar
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    On the graphs it seems that
    \displaystyle\lim_{x\nearrow 0}f(x)=\lim_{x\searrow 0}=0
    \displaystyle\lim_{x\nearrow 1}f(x)=0, \ \lim_{x\searrow 1}f(x)=2
    \displaystyle\lim_{x\nearrow 0}g(x)=1, \ \lim_{x\searrow 0}g(x)=3
    \displaystyle\lim_{x\nearrow 1}g(x)=\lim_{x\searrow 1}g(x)=2

    Now, use \lim [f(x)+g(x)]=\lim f(x)+\lim g(x)
    and \lim[f(x)g(x)]=\lim f(x)\cdot\lim g(x)
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  3. #3
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    Thanks a lot. You deciphered that graph. After reading what you wrote, it made much more sense. Thanks again.
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