13. 2x Let f, g, and h be the functions defined by f(x) = sin, g(x) = x² cos All of the following inequalities are true on the interval [-1, 1] for x with the squeeze theorem to find the limit of the function as a approaches 0 ? I. // ≤ f(x) ≤ x² + 2/1/20 II. - ≤ g(x) ≤ ¹ ≤h(x) ≤7/20 III. - (A) I only (B) II only (C) I and III only (D) II and III only 0. Which of the inequalities can be used (), and h(x) = for 0. tanz

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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13.
0.
c
Let f, g, and h be the functions defined by f(x) = sin, g(x) = r¹ cos (), and h(x) = an for r #0
All of the following inequalities are true on the interval [-1, 1] for x 0. Which of the inequalities can be used
x²
with the squeeze theorem to find the limit of the function as a approaches 0 ?
I. / ≤ f(x) ≤ x² + 1/1/20
II. -1¹ ≤ g(x) ≤ 2²
III. - ≤h(x) ≤ 27/12
(A) I only
(B)
II only
(C) I and III only
(D) II and III only
C
Transcribed Image Text:13. 0. c Let f, g, and h be the functions defined by f(x) = sin, g(x) = r¹ cos (), and h(x) = an for r #0 All of the following inequalities are true on the interval [-1, 1] for x 0. Which of the inequalities can be used x² with the squeeze theorem to find the limit of the function as a approaches 0 ? I. / ≤ f(x) ≤ x² + 1/1/20 II. -1¹ ≤ g(x) ≤ 2² III. - ≤h(x) ≤ 27/12 (A) I only (B) II only (C) I and III only (D) II and III only C
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