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Math Help - Use the definition of derivative?

  1. #1
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    Use the definition of derivative?

    Evaluate the following


    <br />
\lim_{h \to 0}<br />
\frac{(2+h)^10 - 2^10}{h}<br />
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  2. #2
    Super Member Random Variable's Avatar
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     \lim_{h \to 0} \frac{(2+h)^{10}-2^{10}}{h} = \frac{d}{dx} x^{10} evaluated at x=2

    = 10(2)^{9} = 5120
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