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Math Help - Limits question

  1. #1
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    Limits question

    im pretty sure i just need some insight to solve the problem, but i cant seem to figure it out...

    Construct two functions f,g R --> R such that

    lim x-->0 f(x) and lim x-->0 g(x) do not exist but lim --> 0 (f+g)(x) does exist.
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  2. #2
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    Quote Originally Posted by dlee426 View Post
    im pretty sure i just need some insight to solve the problem, but i cant seem to figure it out...

    Construct two functions f,g R --> R such that

    lim x-->0 f(x) and lim x-->0 g(x) do not exist but lim --> 0 (f+g)(x) does exist.
    f(x) = 1/x and g(x) = -1/x.
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