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Fill in the blanks to complete an €-8 proof showing that lim x² - 7 = 42. x→7 Where it asks for a formula for & use the largest value that will work. Let epsilon ✓> 0 be given. We are interested in values of x that are close to 7 so we may assume that 6 < x < 8. Thus 13 < x + 7 < 15. Then with = 7 €, and with x satisfying

Fill in the blanks to complete an €-8 proof showing that lim x² - 7 = 42. x→7 Where it asks for a formula for & use the largest value that will work. Let epsilon ✓> 0 be given. We are interested in values of x that are close to 7 so we may assume that 6 < x < 8. Thus 13 < x + 7 < 15. Then with = 7 €, and with x satisfying

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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what is the delta equal to epsilon, and with x satisfying?

 

Fill in the blanks to complete an e-6 proof showing that lim x² - 7 = 42. x→7 Where it asks for a formula for & use the largest value that will work. Let epsilon ✓> 0 be given. We are interested in values of x that are close to 7 so we may assume that 6 < x < 8. Thus 13 < x + 7 < 15. Then with 6 = 7 e, and with x satisfying
Transcribed Image Text:Fill in the blanks to complete an e-6 proof showing that lim x² - 7 = 42. x→7 Where it asks for a formula for & use the largest value that will work. Let epsilon ✓> 0 be given. We are interested in values of x that are close to 7 so we may assume that 6 < x < 8. Thus 13 < x + 7 < 15. Then with 6 = 7 e, and with x satisfying
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