(a) If g(x) = (sin2x)/x2, use your calculator or computer to make a table of approximate values...
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(b) Use the Comparison Theorem with f(x) = 1/x2 to show that ∫∞ g(x) dx is convergent.
(c) Illustrate part (b) by graphing f and on the same screen for 1 < x < 10. Use your graph to explain intuitively why ∫∞ g(x) dx is convergent.
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a c gx dx 2 0447453 5 0577101 10 0621306 100 0668479 1000 0672957 0673407 t b1 sin a 1 1000...View the full answer
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