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    I have a question here which assumes the knowledge of limits (which I didn't have). So I've spent the last couple of hours reading up on it on wikibooks and a couple of other websites but I'm none the wiser when it comes to this question. If anyone can guide me through it that would be great.

    Q). Use the definition of the derivative as a limit to find the derivative of f(x)=x^n where n is an integer. (Hint: Assume the binomial theorem.)

    I don't want an answer, but more or less an idea of how to do this.

    EDIT: Completely off topic but is this correct?: \dfrac{a!}{b!}= \displaystyle\prod^{a}_{m=b+1}m
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    The definition of the derivative is  \displaystyle\lim_{\delta x \to 0} \dfrac {f(x + \delta x) - f(x)}{\delta x}

    All you need to do with that is put in the parts you've got, and then play with the algebra until you think it's in a form you can consider the limits with respect to delta x. Then conclude what the derivative should be.

    If you need more help than this, there are plenty of guides for this around; just google "differentiation from first principles".
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    Finally got it, thanks .
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    (Original post by ViralRiver)

    EDIT: Completely off topic but is this correct?: \dfrac{a!}{b!}= \displaystyle\prod^{a}_{m=b+1}m
    Yes.
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    For b < a. For b > a...
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    (Original post by around)
    For b < a. For b > a...
    PRSOM. Just for the preciseness; Mathematics is all about preciseness
 
 
 
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