If is the th convergent of and , show . I think i have to use recurrence relation of the continued fraction: but I don't know how to. Can anyone help me on the question. Thank you.
Last edited by kleenex; May 7th 2008 at 10:31 PM. Reason: Input wrong recurrence relation formula
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Originally Posted by kleenex If is the th convergent of and , show . I think i have to use recurrence relation of the continued fraction: but I don't know how to. Can anyone help me on the question. Thank you. You do this by induction. Note that, . But thus, . And so .
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