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Let f be a 3 function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Which of the following statement MUST be true? Select all the correct answers. When is close to 0, f(x) = P(x). O For all x ER, f(x) = P(x). Of(0) = P (0) Thero oxists an onon intonal I

Let f be a 3 function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Which of the following statement MUST be true? Select all the correct answers. When is close to 0, f(x) = P(x). O For all x ER, f(x) = P(x). Of(0) = P (0) Thero oxists an onon intonal I

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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Let f be a C³ function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Which of the following statement MUST be true? Select all the correct answers. When is close to 0, f(x) = P(x). O For all x ER, f(x) = P(x). Of(0) = P(0) There exists an open interval I centered at 0 such that, for all x = I, f(x) = P(x). Of" (0)=P" (0)
Transcribed Image Text:Let f be a C³ function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Which of the following statement MUST be true? Select all the correct answers. When is close to 0, f(x) = P(x). O For all x ER, f(x) = P(x). Of(0) = P(0) There exists an open interval I centered at 0 such that, for all x = I, f(x) = P(x). Of" (0)=P" (0)
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