Taylor series for f(x) = In(sec(x)) at a = 0 is Cn (x)". n=0 d the first few coefficients.
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
Problem 1RQ
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Question
14
![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
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e0c671f-6d07-45cf-8505-b36fe395c45a%2Faaffc8e5-118b-4f1a-b0e0-ccdf38201cf1%2Fok7w4fd_processed.gif&w=3840&q=75)
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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