The graph of a function y=f(x) is given below. Which one of the following can be used as the second degree Taylor polynomial for the function f(x) near x=0? -2 F y 3 2 3 X P₂(x) = −1 - 2x + x² P₂(x) -2x x² P₂(x) = -1- 2x - x² P₂(x) = −1-x+ 2x² A function is given below. Which one is true? f(x) = {1-1 x² |x| ≤ 1 |x|>1 f(x) is neither differentiable nor continuous at x=1. f(x) is continuous and differentiable at x=1. f(x) is differentiable, but it is not continuous at x=1. f(x) is continuous, but it is not differentiable at x=1.
The graph of a function y=f(x) is given below. Which one of the following can be used as the second degree Taylor polynomial for the function f(x) near x=0? -2 F y 3 2 3 X P₂(x) = −1 - 2x + x² P₂(x) -2x x² P₂(x) = -1- 2x - x² P₂(x) = −1-x+ 2x² A function is given below. Which one is true? f(x) = {1-1 x² |x| ≤ 1 |x|>1 f(x) is neither differentiable nor continuous at x=1. f(x) is continuous and differentiable at x=1. f(x) is differentiable, but it is not continuous at x=1. f(x) is continuous, but it is not differentiable at x=1.
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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Transcribed Image Text:The graph of a function y=f(x) is given below. Which one of the following can be
used as the second degree Taylor polynomial for the function f(x) near x=0?
-2
F
y
3
2
3
X
P₂(x) = −1 - 2x + x²
P₂(x) -2x x²
P₂(x) = -1- 2x - x²
P₂(x) = −1-x+ 2x²

Transcribed Image Text:A function is given below. Which one is true?
f(x) = {1-1 x² |x| ≤ 1
|x|>1
f(x) is neither differentiable nor continuous at x=1.
f(x) is continuous and differentiable at x=1.
f(x) is differentiable, but it is not continuous at x=1.
f(x) is continuous, but it is not differentiable at x=1.
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