Taylor series for f(x) = In(sec(x)) at a = 0 is Cn (x)". n=0 d the first few coefficients.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The Taylor series for f(x)
In(sec(x)) at a = 0 is en (x)".
n=0
Find the first few coefficients.
Co =
C1 =
C2
C3
C4 =
Find the exact error in approximating In(sec( – 0.1)) by its fourth degree Taylor polynomial at
а — 0.
The error is
||
Transcribed Image Text:The Taylor series for f(x) In(sec(x)) at a = 0 is en (x)". n=0 Find the first few coefficients. Co = C1 = C2 C3 C4 = Find the exact error in approximating In(sec( – 0.1)) by its fourth degree Taylor polynomial at а — 0. The error is ||
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