m For fixed a, consider the quantity cos(x + h) Q(x, h) = a) What is the limit (x) of Q(x, h) as h→0? cos(x) + h sin(x) h²
m For fixed a, consider the quantity cos(x + h) Q(x, h) = a) What is the limit (x) of Q(x, h) as h→0? cos(x) + h sin(x) h²
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:m
. For fixed z, consider the quantity
Q(x, h) =
=
cos(x+h)- cos(x) + h sin(x)
h²
a) What is the limit (r) of Q(x, h) as h→0?
b) What is the optimal value of h> 0 to obtain the best accuracy in Q(x, h) on a computer with machine-
epsilon ? What is the accuracy obtained (in terms of €)?
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