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1) Let g(x) = (5 points) a) Use your calculator to make a table for approximate values of S2 g(x) dx for t = 5,

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1) Let g(x) = (5 points) a) Use your calculator to make a table for approximate values of S2 g(x) dx for t = 5, 10, 100, 1000, and 10,000. Does it appear that S2 g(x)dx is convergent or divergent? Explain briefly. b) Use the Comparison Theorem with f (x) = - to show whether S2 g(x) dx is convergent or divergent. c) Illustrate part (b) by graphing f and g on the same screen for 2 S x $ 20. Use your graph to explain why 2 g(x)dx is convergent or divergent. Roughly sketch the graph below

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