Infinite Continued Fractions Converge

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We prove that infinite continued fractions converge. We prove that the convergents form a Cauchy sequence.

#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis
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Really great and clear proof! I just have one question, and it is how is you can claim p_n+1q_n-p_nqn+1 equals (-1)^n at 2:43 in your video?

matthiasandersen