Solved: (a) If tsxd ssin2 xdyx 2 , use your calculator or computer to make a table of
Chapter 7, Problem 47(choose chapter or problem)
(a) If tsxd ssin2 xdyx 2 , use your calculator or computer to make a table of approximate values of y t 1 tsxd dx for t 2, 5, 10, 100, 1000, and 10,000. Does it appear that y ` 1 tsxd dx is convergent? (b) Use the Comparison Theorem with fsxd 1yx 2 to show that y ` 1 tsxd dx is convergent. (c) Illustrate part (b) by graphing f and t on the same screen for 1 < x < 10. Use your graph to explain intuitively why y ` 1 tsxd dx is convergent.
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