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Visit this desmos link and interact with the graph in order to determine a d so that if x – a| < 8 , then [f(x) – L| < ɛ. Please make sure your response is accurate to within three decimal places. Let f(x) = 3x-1, and let a → 4, and suppose that e =.1. %3D Determine d so that if x – a < 8 , then |f(x) – L| < e. -

Visit this desmos link and interact with the graph in order to determine a d so that if x – a| < 8 , then [f(x) – L| < ɛ. Please make sure your response is accurate to within three decimal places. Let f(x) = 3x-1, and let a → 4, and suppose that e =.1. %3D Determine d so that if x – a < 8 , then |f(x) – L| < e. -

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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= Limit Visualization - Rev... desmos Log In Sign Up or f(x) = 2x 2 a= 1 2.5 -10 10 3 f(a) (0, 2.1) = 2 |(1, 2) -2- (0, 1.9) 4 d= 0.05 .1 5 E 1.5- = 0.1 6. The blue point is the "target" of the limit (at x = a). Note that the orange points are the corresponding places on the axes which give rise to the blue point. The shaded region represents the "neighborhood" within which we want to "capture" the limit. -1- Epsilon (labeled E here) is the vertical distance between the orange point on the y-axis and each of the blue, horizontal-line boundaries of the shaded region. The height of the blue-shaded region is 2*E. 0:5 Delta (labeled d here) is the horizontal distance between the orange point on the x-axis and each of the red, vertical-line boundaries of the shaded region. The width of the red-shaded region is 2*d. (1.05, 0) 0.5 (0.95, 0) -2 -1.5 -1 -0.5 1.5 2 2.5 7 Behind the Scenes... +
Transcribed Image Text:= Limit Visualization - Rev... desmos Log In Sign Up or f(x) = 2x 2 a= 1 2.5 -10 10 3 f(a) (0, 2.1) = 2 |(1, 2) -2- (0, 1.9) 4 d= 0.05 .1 5 E 1.5- = 0.1 6. The blue point is the "target" of the limit (at x = a). Note that the orange points are the corresponding places on the axes which give rise to the blue point. The shaded region represents the "neighborhood" within which we want to "capture" the limit. -1- Epsilon (labeled E here) is the vertical distance between the orange point on the y-axis and each of the blue, horizontal-line boundaries of the shaded region. The height of the blue-shaded region is 2*E. 0:5 Delta (labeled d here) is the horizontal distance between the orange point on the x-axis and each of the red, vertical-line boundaries of the shaded region. The width of the red-shaded region is 2*d. (1.05, 0) 0.5 (0.95, 0) -2 -1.5 -1 -0.5 1.5 2 2.5 7 Behind the Scenes... +
Visit this desmos link and interact with the graph in order to determine a d so that if x – a << 8 , then f(x) – L < ɛ. Please make sure your response is accurate to within three decimal places. - - Let f(x) = 3x-1, and let x → 4, and suppose that ɛ =. 1. %3D %3D Determine d so that if |x – a| < 8 , then |f(x) – L| < e . -
Transcribed Image Text:Visit this desmos link and interact with the graph in order to determine a d so that if x – a << 8 , then f(x) – L < ɛ. Please make sure your response is accurate to within three decimal places. - - Let f(x) = 3x-1, and let x → 4, and suppose that ɛ =. 1. %3D %3D Determine d so that if |x – a| < 8 , then |f(x) – L| < e . -
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