The Taylor series for f(x) = ln(sec(x)) at a = 0 is Σen(x)". n=0 Find the first few coefficients. Co= C1 = C2 = C3 = C4 = Find the exact error in approximating In (sec (0.4)) by its fourth degree Taylor polynomial at a = 0. The error is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 62E
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The Taylor series for f(x) = In(sec(x)) at a = 0 is Σen(x)".
cn(x)”.
n=0
Find the first few coefficients.
Co
C1
C2
||
C3 =
∞
C4 =
Find the exact error in approximating In(sec (0.4)) by its fourth degree Taylor polynomial at a = 0.
The error is
Transcribed Image Text:The Taylor series for f(x) = In(sec(x)) at a = 0 is Σen(x)". cn(x)”. n=0 Find the first few coefficients. Co C1 C2 || C3 = ∞ C4 = Find the exact error in approximating In(sec (0.4)) by its fourth degree Taylor polynomial at a = 0. The error is
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