3. Let f(x) = e = sin(x) + x - 1. To evaluate f(x) near zero we need to compare f(x) to the Taylor expansion of f(x) at x = 0. Evaluate the Taylor coefficients, ao, a₁, a2, if we compare f(x) with degree two polynomial near zero.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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3.
Let f(x)
= e = sin(x) + x - 1. To evaluate f(x) near zero we need to compare f(x) to the Taylor
expansion of f(x) at x = 0. Evaluate the Taylor coefficients, ao, a₁, a2, if we compare f(x) with degree two
polynomial near zero.
Transcribed Image Text:3. Let f(x) = e = sin(x) + x - 1. To evaluate f(x) near zero we need to compare f(x) to the Taylor expansion of f(x) at x = 0. Evaluate the Taylor coefficients, ao, a₁, a2, if we compare f(x) with degree two polynomial near zero.
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