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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