SOLVED:(a) If g(x) = ((sin^2 x))/(x^2) , use your calculator or computer to make a table of approximate values of ∫1^t g(x) dx for t = 2, 5, 10, 100, 1000 , and 10,000 . Does it appear that ∫1^∞g(x) dx is convergent? (b) Use the Comparison Theorem with f(x) = (1)/(x^2) to show that ∫1^∞g(x) dx is convergent. (c) Illustrate part (b) by graphing f and g on the same screen for 1 ≤x ≤10 . Use your graph to explain intuitively why ∫1^∞g(x) dx is convergent.
SOLVED:(a) If g(x) = ((sin^2 x))/(x^2) , use your calculator or computer to m…
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(a) If g(x)=(sin2x)/x2, use your calculator computerto make a t... | Filo
(a) If g(x)=(sin2x)/x2, use your calculator computerto make a t... | Filo
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