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Math Help - please help !

  1. #1
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    please help !

    Use a taylor series to conjecture the value of:

    The limit as x approaches 0 of (sin (x^3)-(x^3))/9
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  2. #2
    TD!
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    You know that for small x (so certainly for x approaching 0), we can say that sin(x) =~ x. This follows from its Taylor series, when we neglect higher order terms (since sin(x) = x - x/3! + ...).

    So, what happens when you replace sin(x) by x?
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  3. #3
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    please check my work...urgent

    please see the attachment
    Attached Files Attached Files
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by bobby77
    please see the attachment
    It's not exactly how I would have done it, but it looks close enough.

    RonL
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  5. #5
    TD!
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    Quote Originally Posted by bobby77
    please see the attachment
    First order would've been enough here
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