List questions from continued-fractions

Published on 15 Jun 2017 - 2:39

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Continued fraction of exponential function

Published on 16 Jun 2017 - 10:21

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Continued fractions paradox

Published on 26 Jun 2017 - 17:31

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How to show that $\lim_{n\to\infty}[a_1,\cdots,a_n]$ exists if $a_k\geq 2$ for all $k$?

Published on 28 Jun 2017 - 13:22

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Continued fraction in 8th root------ any simpler approach?

Published on 30 Jun 2017 - 5:43

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If $ b_{n}=2+\frac{1}{b_{n-1}} , \ \ b_{0}=2$ and $\lim_{n \rightarrow \infty} b_n=1+\sqrt 2 $

Published on 02 Jul 2017 - 3:50

493

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Continued Fraction and Random Variable

Published on 03 Jul 2017 - 10:37

120

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Continuity in the conjugacy between Gauss map and Shift.

Published on 04 Jul 2017 - 23:54

963

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How does one come up with a Continued Fraction?

Published on 07 Jul 2017 - 13:22

440

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conjectured continued fraction related to certain polynomials

Published on 11 Jul 2017 - 17:59

571

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Does the Rogers-Ramanujan continued fraction $R(q)$ satisfy this conjectured infinite series

Published on 25 Mar 2026 - 12:54

161

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Infinite fraction

Published on 03 Aug 2017 - 0:54

321

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Easiest way to find the polynomial satisfied by a continued fraction representation

Published on 03 Aug 2017 - 3:57

95

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Does the continued fraction of $\sqrt n$ always start at the first term?

Published on 04 Aug 2017 - 14:44

510

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primes generated by a continued fraction

Published on 08 Aug 2017 - 21:45

List Question

On the divergence of a sequence associated to a very-well approximable number

Continued fraction of exponential function

Continued fractions paradox

How to show that $\lim_{n\to\infty}[a_1,\cdots,a_n]$ exists if $a_k\geq 2$ for all $k$?

Continued fraction in 8th root------ any simpler approach?

If $ b_{n}=2+\frac{1}{b_{n-1}} , \ \ b_{0}=2$ and $\lim_{n \rightarrow \infty} b_n=1+\sqrt 2 $

Continued Fraction and Random Variable

Continuity in the conjugacy between Gauss map and Shift.

How does one come up with a Continued Fraction?

conjectured continued fraction related to certain polynomials

Does the Rogers-Ramanujan continued fraction $R(q)$ satisfy this conjectured infinite series

Infinite fraction

Easiest way to find the polynomial satisfied by a continued fraction representation

Does the continued fraction of $\sqrt n$ always start at the first term?

primes generated by a continued fraction

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