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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3d35df2-e7de-4d6b-9002-0451843cf9be%2F67614b5a-05ba-4cf1-bbb0-3b10a7a3693c%2Fyugplj8_processed.png&w=3840&q=75)
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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