Let Pn be the nth Taylor Polynomial of the function f(x) centered at x = 0. Assume that f is a function such that |f (")(x) |< 1 for all n and x (the sine and cosine functions have this property.) Estimate the error if P5 is used to approximate f (;). 1 a) O 6! () b) 4! (G) c) 5! 1 d) O 5! (G)' 6!

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ISBN:9780470458365
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Question 6
Let Pn be the nth Taylor Polynomial of the function f(x) centered at x = 0. Assume that f is a function such that f(n) (x) |S 1 for all n and x
(the sine and cosine functions have this property.) Estimate the error if P5 ()
is used to approximate f (5).
1
6!
4
b)
4!
()'
5!
1
d)
5!
e)
1126
Transcribed Image Text:Question 6 Let Pn be the nth Taylor Polynomial of the function f(x) centered at x = 0. Assume that f is a function such that f(n) (x) |S 1 for all n and x (the sine and cosine functions have this property.) Estimate the error if P5 () is used to approximate f (5). 1 6! 4 b) 4! ()' 5! 1 d) 5! e) 1126
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