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The function f in the figure satisfies lim f(x) = 4. Determine the maximum value of 8 >0 satisfying each statement. 10- X-5 a. If 0< |x- 5<8, then f(x)- 4| < 1. b. If 0< x-5| <8, then f(x) - 4| <0.5. 5- 0- a. 8 =

The function f in the figure satisfies lim f(x) = 4. Determine the maximum value of 8 >0 satisfying each statement. 10- X-5 a. If 0< |x- 5<8, then f(x)- 4| < 1. b. If 0< x-5| <8, then f(x) - 4| <0.5. 5- 0- a. 8 =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The function f in the figure satisfies lim f(x)% = 4. Determine the maximum value of 8>0 satisfying each statement. %3D Ay 10- X-5 a. If 0< x-5|< 8, then |f(x)- 4| < 1. b. If 0< |x-5|<8, then |f(x)- 4| <0.5. 5- 5 10 ..... a. 8 =
Transcribed Image Text:The function f in the figure satisfies lim f(x)% = 4. Determine the maximum value of 8>0 satisfying each statement. %3D Ay 10- X-5 a. If 0< x-5|< 8, then |f(x)- 4| < 1. b. If 0< |x-5|<8, then |f(x)- 4| <0.5. 5- 5 10 ..... a. 8 =
Let f(x)= x +5 and note that lim f(x) = 5. For each value of ɛ given below, use a graphing utility to find the maximum value of 8 > 0 such that If(x)- 5| < ɛ whenever 0< |x-0|<8. %3D (a) s= 2 (b) e = 1 ..... (a) Choose the correct answer below. O A. 8 = 2 B. 8 = 1.414 C. 8= 1.667 D. There is no such value of d.
Transcribed Image Text:Let f(x)= x +5 and note that lim f(x) = 5. For each value of ɛ given below, use a graphing utility to find the maximum value of 8 > 0 such that If(x)- 5| < ɛ whenever 0< |x-0|<8. %3D (a) s= 2 (b) e = 1 ..... (a) Choose the correct answer below. O A. 8 = 2 B. 8 = 1.414 C. 8= 1.667 D. There is no such value of d.
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