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3. Use the third degree Maclaurin polynomial of f to approximate th value of 0.2 ln(1.1), give your answer in decimals. (-1)"(n + 2) 4. Compute the exact value of

3. Use the third degree Maclaurin polynomial of f to approximate th value of 0.2 ln(1.1), give your answer in decimals. (-1)"(n + 2) 4. Compute the exact value of

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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Please answer NUMBER 3 ONLY.

Given: In(1+x) = >) Σ n +1 (-1)" xn+1 if |x| < 1. n=0 1. Find the Maclaurin series for f(x) = x ln (1+ * ). 2 2. Evaluate f(2022) (0). 3. Use the third degree Maclaurin polynomial of f to approximate the value of 0.2 ln(1.1), give your answer in decimals. (-1)" (n + 2) 2n+1(n + 1) 4. Compute the exact value of n=0
Transcribed Image Text:Given: In(1+x) = >) Σ n +1 (-1)" xn+1 if |x| < 1. n=0 1. Find the Maclaurin series for f(x) = x ln (1+ * ). 2 2. Evaluate f(2022) (0). 3. Use the third degree Maclaurin polynomial of f to approximate the value of 0.2 ln(1.1), give your answer in decimals. (-1)" (n + 2) 2n+1(n + 1) 4. Compute the exact value of n=0
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