Let f (x) = sin x x , x _= 0 (a) Show that y = 0 is a horizontal asymptote. (b) Since f

Chapter 5, Problem 38

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Let f (x) = sin x x , x _= 0 (a) Show that y = 0 is a horizontal asymptote. (b) Since f (x) is not defined at x = 0, does this mean that f (x) has a vertical asymptote at x = 0? Find limx0+ f (x) and limx0 f (x). (c) Use a graphing calculator to sketch the graph of f (x).

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