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Maclaurin series similar to those of e^x
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Posted 2018-11-25, 03:51 PM
I was playing around with functions of the form (based on the trivial Maclaurin expansion of ), and noticed, for example, that












where is the golden ratio. If you're sufficiently bored, you should help me find other, interesting functions , or similar series expansions, e.g. by using WolframAlpha. I suspect that the series above have been studied in some more general context since they're so "obvious", but I haven't seen anything along those lines previously.

(Edit: I should note that if you throw away any terms such that .)
"Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today." - Stephen Wolfram

Last edited by Chruser; 2018-11-25 at 04:21 PM.
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