The integral x2 1 4 9 use the comparison theorem to

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Unformatted text preview: x d x for t 5, 10, 100, 1000, and 10,000. Does it appear that x2 t x d x is convergent or divergent? (b) Use the Comparison Theorem with f x 1 s x to show that x2 t x d x is divergent. (c) Illustrate part (b) by graphing f and t on the same screen for 2 x 20. Use your graph to explain intuitively why x2 t x d x is divergent. re r 3 dr e 2 x2 x x /2 e ; 48. (a) If t x cos 2 d z2 2 s y sin x x , use your calculator or computer to make a table of approximate values of x1t t x d x for t 2, 5, 10, 100, 1000, and 10,000. Does it appear that x1 t x d x is convergent? (b) Use the Comparison Theorem with f x 1 x 2 to show that x1 t x d x 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 x1 t x d x i...
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This note was uploaded on 12/27/2013 for the course MATHEMATIC 135 taught by Professor Lam during the Fall '07 term at University of Toronto.

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