2+ 4x f(x) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2+ 4x
f(x) =
Compute
f(x)
f'(x)
f"(x) =
f' (x)
=
fliv)(x) =
flv (x) =
(b)We see that the first term does not fit
a pattern, but we also see that
f(k)(1)=? For k>1
(c) Hence we see that the Taylor series
forf centered at 1 is given by
f(x) = 6 + >,
k=1
(x – 1)*.
-
Transcribed Image Text:2+ 4x f(x) = Compute f(x) f'(x) f"(x) = f' (x) = fliv)(x) = flv (x) = (b)We see that the first term does not fit a pattern, but we also see that f(k)(1)=? For k>1 (c) Hence we see that the Taylor series forf centered at 1 is given by f(x) = 6 + >, k=1 (x – 1)*. -
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