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Thread: Math133

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    Member BenHowe's Avatar
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    Math133

    Hey would anyone be able to help me with these 2 q's:

    For this one I don't know how to do the series with 1/n

    Capture.JPG


    For this one I just dont understand the binomial form in general. Oops find the tayler series for it

    Capture.JPG

    Any help would be greatly appreciated!
    2nd Year Applied Finance/Actuarial Studies @ MQ
    GPA 6.77 WAM 87%
    Part 1's: CT1,CT2, 1/2 CT3,CT7

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    Rambling Spirit
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    Re: Math133

    Quote Originally Posted by BenHowe View Post
    Hey would anyone be able to help me with these 2 q's:

    For this one I don't know how to do the series with 1/n

    Capture.JPG


    For this one I just dont understand the binomial form in general. Oops find the tayler series for it

    Capture.JPG

    Any help would be greatly appreciated!
    jathu123 likes this.

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    Member BenHowe's Avatar
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    Re: Math133

    Why is it -log(1-z)?
    2nd Year Applied Finance/Actuarial Studies @ MQ
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    Rambling Spirit
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    Re: Math133

    Quote Originally Posted by BenHowe View Post
    Why is it -log(1-z)?
    It's one of the standard Taylor series. You can obtain it by integrating the geometric series.
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    Supreme Member seanieg89's Avatar
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    Re: Math133



    You can also express the binomial coefficient in terms of factorials and powers of 2 if you like, but I leave that to you.

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    Supreme Member seanieg89's Avatar
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    Re: Math133

    In case you haven't seen fractional binomial coefficients before:


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    Re: Math133

    Quote Originally Posted by InteGrand View Post
    It's one of the standard Taylor series. You can obtain it by integrating the geometric series.
    So you can just the sum be J or whatever.



    One question tho, do you get the right answer if multiply by x in the final step rather than shifting the sum so to speak i.e. integrand becomes 1/x(1-x)
    Last edited by BenHowe; 3 Sep 2017 at 7:31 AM.
    2nd Year Applied Finance/Actuarial Studies @ MQ
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    Member BenHowe's Avatar
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    Re: Math133

    Quote Originally Posted by seanieg89 View Post
    In case you haven't seen fractional binomial coefficients before:

    Yeah thanks heaps. I've done a lot of binomial stuff this semester in another unit, it just wasnt making sense. But just to clarify you can either do the general computation for tayler/macluaran series or you can fiddle with a function until it reduces a well-known result?

    Thanks for your help
    2nd Year Applied Finance/Actuarial Studies @ MQ
    GPA 6.77 WAM 87%
    Part 1's: CT1,CT2, 1/2 CT3,CT7

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