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At asymptotic series I have made explicit the proof that the Taylor series of a smooth function is always asymptotic (here)
I added links to more relevant entries like divergent series, resummation, regular summation method, Puiseux series, Stokes phenomenon.
I have added warning that by Borel’s theorem every formal power series is the asymptotic expansion of some smooth function, and of more than one smooth function. To reflect this state of affairs better I changed the entry name from “asymptotic series” to “asymptotic expansion”.
Link correction, Borel’s theorem.
Thanks, fixed now.
added a minimum of pointers regarding “optimal truncation”
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