Find the smallest value of n such that the remainder estimate |R s (x – a)n + 1, where M is the maximum value of |f(n + 1)(z)| on the interval between a and the indicated point, yields (n + 1)! IR,I s 1 on the indicated interval. 1,000 f(x) = e* on [-3, 3], a = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the smallest value of n such that the remainder estimate |R.l <
M
-(x - a)" + ', where M is the maximum value of |f(" + 1(z)| on the interval between a and the indicated point, yields
(n + 1)!
1
on the indicated interval.
1,000
f(x) %3D е Х on [-3, 3), а %3D 0
Transcribed Image Text:Find the smallest value of n such that the remainder estimate |R.l < M -(x - a)" + ', where M is the maximum value of |f(" + 1(z)| on the interval between a and the indicated point, yields (n + 1)! 1 on the indicated interval. 1,000 f(x) %3D е Х on [-3, 3), а %3D 0
M
Find the smallest value of n such that the remainder estimate |Rl <
a)" + ', where M is the maximum value of |f(n + 1)(z)| on the interval between a and the indicated point, yields
(n + 1)!
1
on the indicated interval.
1,000
f(x) = sin(x) on [-x, n], a
= 0
Transcribed Image Text:M Find the smallest value of n such that the remainder estimate |Rl < a)" + ', where M is the maximum value of |f(n + 1)(z)| on the interval between a and the indicated point, yields (n + 1)! 1 on the indicated interval. 1,000 f(x) = sin(x) on [-x, n], a = 0
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