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Set a = 5 and z = 0.2. Use the 0-slider to find a value for so that f(x) is within 0.2 of f(5) for all values of x where 5-0

Set a = 5 and z = 0.2. Use the 0-slider to find a value for so that f(x) is within 0.2 of f(5) for all values of x where 5-0

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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Select the second function in "The Limit of a Function", y = √x. (a) Set a = 5 and 8 = 0.2. Use the 0-slider to find a value for & so that f(x) is within 0.2 of f(5) for all values of x where 5 - 0 < x < 5 +6. What is the largest value of you can use? (b) Use the graph to estimate the largest value of so that I√x -21 < 0.3 whenever Ix - 4| < 0. (c) Zoom in at x = 3, and estimate the largest value of so that √x - √3|< 0.01 whenever |x - 3|< 6. (d) State the limit that part (c) is illustrating. lim √x = x-3
Transcribed Image Text:Select the second function in "The Limit of a Function", y = √x. (a) Set a = 5 and 8 = 0.2. Use the 0-slider to find a value for & so that f(x) is within 0.2 of f(5) for all values of x where 5 - 0 < x < 5 +6. What is the largest value of you can use? (b) Use the graph to estimate the largest value of so that I√x -21 < 0.3 whenever Ix - 4| < 0. (c) Zoom in at x = 3, and estimate the largest value of so that √x - √3|< 0.01 whenever |x - 3|< 6. (d) State the limit that part (c) is illustrating. lim √x = x-3
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