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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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 41EQ
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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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