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Suppose the function f(x) has a Taylor series at x = 4 that converges to f(x) for all x e R, (-1)"n! 3" (n + 1) and the n-th derivative of f(x) at x = 4 is f(")(4) = Define T,(x) as the n-th degree Taylor polynomial of f at x = 4. Show T3(5) approximates f(5) with error less than or equal to Note: 367 1 5103 5103

Suppose the function f(x) has a Taylor series at x = 4 that converges to f(x) for all x e R, (-1)"n! 3" (n + 1) and the n-th derivative of f(x) at x = 4 is f(")(4) = Define T,(x) as the n-th degree Taylor polynomial of f at x = 4. Show T3(5) approximates f(5) with error less than or equal to Note: 367 1 5103 5103

Advanced Engineering Mathematics
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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Suppose the function f(x) has a Taylor series at x = 4 that converges to f(x) for all x E R, (-1)"n! 3" (n + 1) and the n-th derivative of f(x) at x = 4 is f(") (4) = Define Tn(x) as the n-th degree Taylor polynomial of f at x = 4. Show T;(5) approximates f(5) with error less than or equal to 5103- Note: = h 36 *7 5103
Transcribed Image Text:Suppose the function f(x) has a Taylor series at x = 4 that converges to f(x) for all x E R, (-1)"n! 3" (n + 1) and the n-th derivative of f(x) at x = 4 is f(") (4) = Define Tn(x) as the n-th degree Taylor polynomial of f at x = 4. Show T;(5) approximates f(5) with error less than or equal to 5103- Note: = h 36 *7 5103
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