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Math Help - limit that represents derivative of a function

  1. #1
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    limit that represents derivative of a function

    The question states: "The following limit represents the derivative of a function f(x) at the point  x = x_0

     \mathop{\lim }\limits_{x \to 1} \frac{{x^9  - 1}}{{x - 1}}

    The function and point respectively are?

    Can someone pleae advise on where I start here? thanks
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  2. #2
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    Quote Originally Posted by Craka View Post
    The question states: "The following limit represents the derivative of a function f(x) at the point  x = x_0

     \mathop{\lim }\limits_{x \to 1} \frac{{x^9 - 1}}{{x - 1}}

    The function and point respectively are?

    Can someone pleae advise on where I start here? thanks
    You should know that \lim_{x \rightarrow a} \frac{f(x) - f(a)}{x-a} = f'(a).
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