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For the given function f(x) and values of L, c, and e > 0 find the largest open interval about c on which the inequality |f(x) – L| <ɛ holds. Then determine the largest value for 8>0 such that 0 < |x – c| < & → [f(x) – L| < ɛ. f(x) = /9x + 76, L=11, c=5, e = 0.06 The largest open interval about c on which the inequality |f(x) –L|<ɛ holds is- (Use interval notation. Round to four decimal places as needed.)

For the given function f(x) and values of L, c, and e > 0 find the largest open interval about c on which the inequality |f(x) – L| <ɛ holds. Then determine the largest value for 8>0 such that 0 < |x – c| < & → [f(x) – L| < ɛ. f(x) = /9x + 76, L=11, c=5, e = 0.06 The largest open interval about c on which the inequality |f(x) –L|<ɛ holds is- (Use interval notation. Round to four decimal places as needed.)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 54PS
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For the given function f(x) and values of L, c, and ɛ > 0 find the largest open interval about c on which the inequality |f(x) - L|<e holds. Then determine the largest value for 6 >0 such that 0 < |x - c| < 8 → |f(x) – L| < ɛ. f(x) = V9x + 76, L=11, c= 5, ɛ = 0.06 The largest open interval about c on which the inequality |f(x) - L|<ɛ holds is (Use interval notation. Round to four decimal places as needed.)
Transcribed Image Text:For the given function f(x) and values of L, c, and ɛ > 0 find the largest open interval about c on which the inequality |f(x) - L|<e holds. Then determine the largest value for 6 >0 such that 0 < |x - c| < 8 → |f(x) – L| < ɛ. f(x) = V9x + 76, L=11, c= 5, ɛ = 0.06 The largest open interval about c on which the inequality |f(x) - L|<ɛ holds is (Use interval notation. Round to four decimal places as needed.)
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