f(x) = ln(2⋅ x + 1), x € (1, 3). 1. The Taylor polynomial T2 (x) at the point a = 2 is
f(x) = ln(2⋅ x + 1), x € (1, 3). 1. The Taylor polynomial T2 (x) at the point a = 2 is
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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![Let
f(x) = ln(2x+1), x = (1,3).
1. The Taylor polynomial T2 (x) at the point
a = 2 is
2. The smallest value of M that occurs in
Taylor's inequality is
3. With M having the above value, Taylor's
inequality assures that the error in the
approximation f(x) ≈ T2(x) is less than
x = (1,3).
for all
4. If x (2, 3) the Alternate Series
Estimation Theorem assures that the error in
the approximation f(x) ≈ T₂ (x) is less
than
Notice: Your input in 3. and 4. should contain
the smallest possible value, as indicated by
Taylor Inequality and ASET.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4d41706-fa65-4346-a8f1-5e88a9b445b4%2F751be6b1-2974-46d0-8017-a6fca0fb2ac8%2Fv0cjqwi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
f(x) = ln(2x+1), x = (1,3).
1. The Taylor polynomial T2 (x) at the point
a = 2 is
2. The smallest value of M that occurs in
Taylor's inequality is
3. With M having the above value, Taylor's
inequality assures that the error in the
approximation f(x) ≈ T2(x) is less than
x = (1,3).
for all
4. If x (2, 3) the Alternate Series
Estimation Theorem assures that the error in
the approximation f(x) ≈ T₂ (x) is less
than
Notice: Your input in 3. and 4. should contain
the smallest possible value, as indicated by
Taylor Inequality and ASET.
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