Let f(x)= x sin(1/x4)e−1/x2 and g(x)= e−1/x2 .Using the familiar properties of these functions, compute the limit as x approaches zero of f(x), g(x), f(x)/g(x), and f(x)/g(x). Explain why the results are surprising but not in conflict with the content of Theorem 5.3.6.1
Let f(x)= x sin(1/x4)e−1/x2 and g(x)= e−1/x2 .Using the familiar properties of these functions, compute the limit as x approaches zero of f(x), g(x), f(x)/g(x), and f(x)/g(x). Explain why the results are surprising but not in conflict with the content of Theorem 5.3.6.1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 35E
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Let f(x)= x sin(1/x4)e−1/x2 and g(x)= e−1/x2 .Using the familiar properties of these functions, compute the limit as x approaches zero of f(x), g(x), f(x)/g(x), and f(x)/g(x). Explain why the results are surprising but not in conflict with the content of Theorem 5.3.6.1
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