Suppose that f is a positive function such that f9 is
Chapter , Problem 10(choose chapter or problem)
Suppose that f is a positive function such that f9 is continuous. (a) How is the graph of y fsxd sin nx related to the graph of y fsxd? What happens as n l `? . 542 (b) Make a guess as to the value of the limit lim nl` y 1 0 fsxd sin nx dx based on graphs of the integrand. (c) Using integration by parts, confirm the guess that you made in part (b). [Use the fact that, since f9 is continuous, there is a constant M such that | f9sxd | < M for 0 < x < 1.]
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