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Let f be a C3 function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Let Q be its 2nd Taylor polynomial centered at 0. Which of the following statements MUST be true? Select all the correct answers. 0 0 0 lim 2-40 lim lim -40 lim -0 lim 2-10 f(z) - P(x) P(z) - Q(1) 2 f(x) - Q(x) 23 P(x) - Q(x) 2³ f(x) - P(x) 22 <-0 <<-0 <-0

Let f be a C3 function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Let Q be its 2nd Taylor polynomial centered at 0. Which of the following statements MUST be true? Select all the correct answers. 0 0 0 lim 2-40 lim lim -40 lim -0 lim 2-10 f(z) - P(x) P(z) - Q(1) 2 f(x) - Q(x) 23 P(x) - Q(x) 2³ f(x) - P(x) 22 <-0 <<-0 <-0

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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es Let f be a C3 function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Let Q be its 2nd Taylor polynomial centered at 0. Which of the following statements MUST be true? Select all the correct answers. 0 0 0 lim 2-0 lim lim -40 lim 2-0 lim 2-10 f(x) - P(x) P(z) - Q(x) f(x) - Q(x) 2³ P(x) - Q(z) 2³ f(x) - P(x) <=0 <=0 <-0
Transcribed Image Text:es Let f be a C3 function with domain R. Let P be its 3rd Taylor polynomial centered at 0. Let Q be its 2nd Taylor polynomial centered at 0. Which of the following statements MUST be true? Select all the correct answers. 0 0 0 lim 2-0 lim lim -40 lim 2-0 lim 2-10 f(x) - P(x) P(z) - Q(x) f(x) - Q(x) 2³ P(x) - Q(z) 2³ f(x) - P(x) <=0 <=0 <-0
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