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7'}. DO 7. Consider the following graph, which plots the partial sums S = 2 me for sum series 2 Elk. k= k=0 (0.10) '0
7'}. DO 7. Consider the following graph, which plots the partial sums S = 2 me for sum series 2 Elk. k= k=0 (0.10) '0 (2. 9.1) ' (i. 8.371,) O 3 O O I O I 6 4 I I 0 I O 2 I (a) Determine what series these partial sums refer to. That is, determine the general term the. (b) Determine if the series converges according to the Alternating Series Test. (c) Determine the value of the innite series. Consider the alternative version of the graph illustrated here. 10 (d) What are the new vertical line segments representing? Be precise. (e) Add a horizontal line to this graph at the height you found in (c). (f) What can you observe about your horizontal line in relation to the vertical arrows? (g) What can you observe about the relative lengths of the vertical arrows? (h) Explain what this picture illustrates
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