Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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1. Graph f(x) ● ● L ● = x³-7x² +17x-15 = x-3 2. Using the function f (x) from #1. Use your calculator to determine the two numbers close to 3 between which x must be kept if f(x) is to stay within 0.01 units of Give a short explanation of how you calculated these values, 2 For the statement "If x is within ___ units of 3 (but not equal to 3), then f(x) is within 0.01 of 2", state the largest number that can go in the blank The formal definition of a limit is: x →C lim f(x)if and only if for any positive number € (no matter how small) there is a positive number & such that if x is within & units of c, f(x) is within € units of L. The four numbers L, c, e, and 8 all appear in the problem above. Which one is which? Explain on your graphing calculator: Find f(3) Explain what this means Find lim f(x) x 3 Explain how you determined the limit
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Transcribed Image Text:1. Graph f(x) ● ● L ● = x³-7x² +17x-15 = x-3 2. Using the function f (x) from #1. Use your calculator to determine the two numbers close to 3 between which x must be kept if f(x) is to stay within 0.01 units of Give a short explanation of how you calculated these values, 2 For the statement "If x is within ___ units of 3 (but not equal to 3), then f(x) is within 0.01 of 2", state the largest number that can go in the blank The formal definition of a limit is: x →C lim f(x)if and only if for any positive number € (no matter how small) there is a positive number & such that if x is within & units of c, f(x) is within € units of L. The four numbers L, c, e, and 8 all appear in the problem above. Which one is which? Explain on your graphing calculator: Find f(3) Explain what this means Find lim f(x) x 3 Explain how you determined the limit
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Step 1: Given
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Step 2: Finding F(3) and interpreting
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Step 3: Finding limits
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Step 4: Graphing the given function
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Solution
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