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oo 1. (a) Show that j 81 d3: converges, and determine to what number it converges. 0 {)0 00 (b) Draw a picture showing f

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oo 1. (a) Show that j 81 d3: converges, and determine to what number it converges. 0 {)0 00 (b) Draw a picture showing f eff d2: and f 671: dcc as areas. Based on your picture and (a), 0 1 00 00 do you think / 633 (18 converges? Verify your guess by evaluating / 85\" 033: as a limit of 1 1 denite integrals

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