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00 1 1. In this problem, you'll look at the series Z: W' One can visualize this series as area, by drawing a k=10 1
00 1 1. In this problem, you'll look at the series Z: W' One can visualize this series as area, by drawing a k=10 1 1 box of area 105,4, a box of area 115,4 and so on. (a) There are two ways to draw the series (as boxes) in question. Draw each of them together with the graph y = $51\" on two different graphs. DO 1 (b) Use the picture to write an inequality comparing 2 to an improper integral. Check the 54 k=10k/ bounds of your improper integral carefully, and be sure you are comparing on the same domain. (c) Is the improper integral you wrote in (b) convergent or divergent? Explain. (d) Using the inequality you wrote in (b) and your answer to (c), what (if anything) can you conclude 1 ? 00 about the convergence of Z W. k=10 (e) Repeat (b)(d) with your second picture
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