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Math Help - Infinite limits

  1. #1
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    Exclamation Infinite limits

    Find if the limit is +ve infinity or -ve infinity
    1)  lim (x \rightarrow 0^-)\frac{\sqrt{x^2+3}}{x}

    2)  lim (x \rightarrow 0^+)\frac{1}{x}-\frac{1}{x^2}

    Attempt:
    1) -\infty
    2)  +\infty

    Am I correct?
    Last edited by mj.alawami; October 14th 2009 at 02:02 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by mj.alawami View Post
    Find if the limit is +ve infinity or -ve infinity
    1)  lim (x \rightarrow 0^-)\frac{\sqrt{x^2+3}}{x}

    2)  lim (x \rightarrow 0^+)\frac{1}{x}-\frac{1}{x^2}

    Attempt:
    1) -\infty
    2)  +\infty

    Am I correct?
    Tell us why you think these are the limits, that way we can diagnose what it is about these problems that you don't understand (at least one is wrong).

    CB
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  3. #3
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    Quote Originally Posted by CaptainBlack View Post
    Tell us why you think these are the limits, that way we can diagnose what it is about these problems that you don't understand (at least one is wrong).

    CB
    Which is wrong
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  4. #4
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    Quote Originally Posted by mj.alawami View Post
    Which is wrong
    Are you just 'fishing' for someone to give the correct answer?
    Did you graph the functions?
    The graph tell you the answer.
    If you do not have a graphing utility then:
    go to this website Wolfram|Alpha
    In the input window, type in this exact expression: plot (1/x)-(1/x^2) (you can copy & paste)
    [b]Click the equals bar at the right-hand end of the input window.
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