Suppose that f (x) = xex , x 0 (a) Show that f (0) = 0, f (x) > 0 for x > 0, and lim x f

Chapter 5, Problem 1

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Suppose that f (x) = xex , x 0 (a) Show that f (0) = 0, f (x) > 0 for x > 0, and lim x f (x) = 0 (b) Find local and absolute extrema. (c) Find inflection points. (d) Use the foregoing information to graph f (x).

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