If you use the second Taylor polynomial of f(x)=√x centered at x = 1 to estimate √1.1 as √1.1=1+ (1.1-1)-(1.1-1)², which of the following estimates the error? 1 16(0.1) 5/2 -3 8(1.1) 5/2 (0.1) ³| 16 -(0.1)³ (0.1) ³ 1 - (0.1) ³ 16(1.1) 5/2

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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If you use the second Taylor polynomial
of f(x)=√x centered at x = 1 to
estimate √1.1 as
√1.1=1+ (1.1-1)-(1.1-1)²,
which of the following estimates
the error?
1
16(0.1) 5/2
-3
8(1.1) 5/2
(0.1) ³|
16
-(0.1)³
(0.1) ³
1
- (0.1) ³
16(1.1) 5/2
Transcribed Image Text:If you use the second Taylor polynomial of f(x)=√x centered at x = 1 to estimate √1.1 as √1.1=1+ (1.1-1)-(1.1-1)², which of the following estimates the error? 1 16(0.1) 5/2 -3 8(1.1) 5/2 (0.1) ³| 16 -(0.1)³ (0.1) ³ 1 - (0.1) ³ 16(1.1) 5/2
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