Suppose you want to approximate In(3 + 2x) on the interval [-0.5,0.5] using its Taylor polynomial of degree 2 about a = 0. VWhich option below represents the best possible bound on the error in the approximation, E2(x)|, that can be obtained from the Lagrange Error Bound?
Suppose you want to approximate In(3 + 2x) on the interval [-0.5,0.5] using its Taylor polynomial of degree 2 about a = 0. VWhich option below represents the best possible bound on the error in the approximation, E2(x)|, that can be obtained from the Lagrange Error Bound?
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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Transcribed Image Text:16
· 0.53
4° - 3!
a)
b)
|E2(x)|
<
0.53
43 - 3!
Oc)
|E2 (x)| <
- 0.53
2 - 3!
O d)
16
|E2(x)| <
0.53
(3 + 2a)³
16
e)
|E2 (x)| <
0.53
23.3!
2.
![Suppose you want to approximate In(3 + 2x) on the interval [-0.5,0.5] using its
Taylor polynomial of degree 2 about x
possible bound on the error in the approximation, |E2 (x)|, that can be obtained from
the Lagrange Error Bound?
0. Which option below represents the best
O a)
16
|E2(x)| <
0.53
43 . 3!
O b)
|E2 (x) <
0.53
43. 3!
c)
|E2 (x)| <
-0.53
23. 3!
O d)
|E2(x)| <
16
0.53
(3+ 2x)3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0ce4869-2d8f-499e-8e14-f12befc70f29%2F6e047bda-ec1b-458d-a6a4-c95989b7650e%2Fg635r1s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose you want to approximate In(3 + 2x) on the interval [-0.5,0.5] using its
Taylor polynomial of degree 2 about x
possible bound on the error in the approximation, |E2 (x)|, that can be obtained from
the Lagrange Error Bound?
0. Which option below represents the best
O a)
16
|E2(x)| <
0.53
43 . 3!
O b)
|E2 (x) <
0.53
43. 3!
c)
|E2 (x)| <
-0.53
23. 3!
O d)
|E2(x)| <
16
0.53
(3+ 2x)3
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