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tf be a function defined by f(x) = In(3 – 2x). (a.) Using the first 5 terms of the Maclaurin expansion of f. Approximate In(0.5) upto three-decimal place value. (b.) Using the first 4 terms of the Taylor series expansion of f about a = 1, approxi- mate the definite integral f(x) dr. x - 1

tf be a function defined by f(x) = In(3 – 2x). (a.) Using the first 5 terms of the Maclaurin expansion of f. Approximate In(0.5) upto three-decimal place value. (b.) Using the first 4 terms of the Taylor series expansion of f about a = 1, approxi- mate the definite integral f(x) dr. x - 1

Advanced Engineering Mathematics
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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Let f be a function defined by f(x) = In(3 – 2x). (a.) Using the first 5 terms of the Maclaurin expansion of f. Approximate lIn(0.5) upto three-decimal place value. (b.) Using the first 4 terms of the Taylor series expansion of f about a = 1, approxi- mate the definite integral f(x) dx. x - 1
Transcribed Image Text:Let f be a function defined by f(x) = In(3 – 2x). (a.) Using the first 5 terms of the Maclaurin expansion of f. Approximate lIn(0.5) upto three-decimal place value. (b.) Using the first 4 terms of the Taylor series expansion of f about a = 1, approxi- mate the definite integral f(x) dx. x - 1
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