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Math Help - one sided limit

  1. #1
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    one sided limit

    heeey

    lim x^4-1 / x - 1
    x-> 1+

    how to do it, how to find one sided limit ???
    the answer is 4
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  2. #2
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    Quote Originally Posted by wutever View Post
    heeey

    lim x^4-1 / x - 1
    x-> 1+

    how to do it, how to find one sided limit ???
    the answer is 4
    \lim_{x \to 1^+} \frac{x^4 - 1}{x - 1} = \lim_{x \to 1^+} \frac{(x^2 + 1)(x^2 - 1)}{x - 1}

    = \lim_{x \to 1^+} \frac{(x^2 + 1)(x + 1)(x - 1)}{x - 1}

    = \lim_{x \to 1^+}(x^2 + 1)(x + 1) = 2 \cdot 2 = 4

    -Dan
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