this is for holding javascript data
Benedict Irwin edited Investigation.tex
over 9 years ago
Commit id: da41813c4568389152f5bb767f2bd5ddab2d281c
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diff --git a/Investigation.tex b/Investigation.tex
index 1b47300..9b84991 100644
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\end{equation}
This doesn't sound, too ridiculous when one considers that $0.|9;\infty=1$
However one can notice that \begin{equation}
\lim_{n\to\infty} \frac{1|3;n|8}{2|8;n|7}=\lim_{n\to\infty} \frac{1|3;n}{2|8;n}
\end{equation}
In fact the end digits wil be very small, so as we go to infinity, this information will probably be lost.
\begin{equation}
\lim_{n\to\infty} \frac{1|3;n}{1|8;n} = 0.\overline{7058823529411764} =\frac{12}{17} \\
\lim_{n\to\infty} \frac{1|3;n}{2|8;n} = 0.\overline{461538} =\frac{12}{26} \\
\lim_{n\to\infty} \frac{1|3;n}{3|8;n} = 0.3\overline{428571} =\frac{12}{35} \\
\lim_{n\to\infty} \frac{1|3;n}{4|8;n} = 0.\overline{27} =\frac{12}{44} \\
\end{equation}