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Math Help - Limits problem

  1. #1
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    Limits problem

    Ok tell me if I'm wrong for (k)
    I got 1(0) = 0
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  2. #2
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    Re: Limits problem

    The answer is indeed 0, but for a different reason. This is the limit of composition g(f(x)), not of product g(x)f(x).
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  3. #3
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    Re: Limits problem

    And (l) is undefined right?
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  4. #4
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    Re: Limits problem

    Quote Originally Posted by asilvester635 View Post
    And (l) is undefined right?
    Yes. Hopefully you can explain why.
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  5. #5
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    Re: Limits problem

    Yes because it's undefined when x approaches -1 for f(x)
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  6. #6
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    Re: Limits problem

    Quote Originally Posted by asilvester635 View Post
    Yes because it's undefined when x approaches -1 for f(x)
    No, the behavior of f(x) near x = -1 is irrelevant to this question. What matters is the behavior of f(x) near x = 1. Moreover, it is not enough to say that \lim_{x\to1}f(x) does not exist. If f(x) were 1 instead of 0, then \lim_{x\to1}f(x) would still not exist, but \lim_{x\to-1}f(g(x)) would exist.
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