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Math Help - power series representation of a function

  1. #1
    Senior Member mollymcf2009's Avatar
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    power series representation of a function

    Use the formula to compute ln(1.1) correct to 5 decimal places.

    ln(1-x) = - \sum^{\infty}_{n=1} \frac{x^n}{n}

    ln(1.1) = ?

    Have no idea what this is asking me to do and no idea where to start.

    Thanks!!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mollymcf2009 View Post
    Use the formula to compute ln(1.1) correct to 5 decimal places.

    ln(1-x) = - \sum^{\infty}_{n=1} \frac{x^n}{n}

    ln(1.1) = ?

    Have no idea what this is asking me to do and no idea where to start.

    Thanks!!
    what happens if you plug in x = -0.1 in the first formula?

    you can write out the first few terms of that series, right? can you find an amount of partial sums so that the first five decimal places remain constant? -- ok, that sounded awkward, but hopefully you know what i mean. find the first few partial sums, and see how the value progresses. if the first 5 decimal places are not the same, continue to find more partial sums until it is
    Last edited by Jhevon; April 12th 2009 at 03:14 PM.
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