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tanx
Converting the Power Series for tan(x) to a Continued Fraction
October 15, 2005: What better thing for a single man to do on a Friday night.
I decided to take the Taylor/McLaurin series for tan(x) and, using Maple,
applied the same iterative
process I used for e^x. I came up with a fraction which looked like it had a pattern,
but I had trouble understanding the pattern. After about five hours of playing
around with the numbers and searching google for sequences of numbers I was able
to find the pattern. It was a very long, tedious,
yet interesting process. Here are the steps.
The final result is this
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