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Math Help - Find recurrence relation please help!

  1. #1
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    Unhappy Find recurrence relation please help!

    I'm sorry but the question is in the attachment because I seem to have a problem uploading equations in fractions. If you refer to the question, I'm not sure whether the 'above recurrence relation' refers to the one in Vn or f(Vn), but assuming it's the one in f(Vn), I tried comparing the gradients of the tangent [f'(Vn) = f(Vn)/ (Vn - Vn+1)] but I don't know how to proceed from there.

    Please help me and sorry for the inconvenience caused!
    Attached Thumbnails Attached Thumbnails Find recurrence relation please help!-snip-math-question.jpg  
    Last edited by louisatanhuiying; December 15th 2012 at 09:28 PM.
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  2. #2
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    Re: Find recurrence relation please help!

    Quote Originally Posted by louisatanhuiying View Post
    I'm not sure whether the 'above recurrence relation' refers to the one in Vn or f(Vn)
    The question uses the phrase "recurrence relation" only twice, and the second occurrence refers to the first one. To derive this recurrence relation, you need to know what f is. I think you need to apply Newton's method to this f.
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