Math Forum Discussions

Jeff Stuart

Posts: 1,086
Registered: 12/6/04

Re: [ap-calculus] Series general term and taylor polynomial coefficient
Posted: May 3, 2012 5:26 PM

Plain Text

My guess is that a question such as "Give the nth term of the Maclaurin
series for f(x) = sin(2x^4)" is too vague. There are several
legitimate ways of indexing such a series and labeling the powers of x.
I would expect that less ambiguous questions that captures much of the
understanding might be, "What is the coefficient of x^36 in the series
for f(x)," or, "What is the value of f^(36) (0) ?"

--
Professor Jeff Stuart, Chair
Department of Mathematics
Pacific Lutheran University
Tacoma, WA 98447 USA
(253) 535 - 7403
jeffrey.stuart@plu.edu

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