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Homework Content Project Overview In this project, we will examine the methods for determining the convergence or divergence of a series. We have used the following tests: • Test for Divergence (11.2) - The Integral Test (11.3) The Direct Comparison Test (11.4) The Limit Comparison Test (11:4) The Alternating Series Test (11.5) - The Ratio Test (11.6) The Root Test (11.7) . . In addition, we have looked at X For each of the series tests listed above, make a chart to summarize the tests State the test Convergence tests for sequences A special series: Geometric series A special series: p-series •The conditions for using the test. This is the "hypothesis" part of the theorem. "If these conditions are met", then... •The results of the test. What results imply convergence? What results imply divergence? What results are nonconclusive? From the list of series in the attached file, identify ONE that you would use the test to evaluate. • Make any additional notes or comments that help you, personally, know when to use the test and what the results mean. For the additional content Describe how we know a sequence is convergent or divergent. Describe how we can identify a series as geometric. What conditions have to be met for convergence of a geometric series? What conditions have to be met for divergence of a geometric series. Describe how we can identify a series as p-series. What conditions have to met for convergence of a p-series? What conditions have to be met for divergence of a p-series? An example chart is attached. You will need to make the hovec hinner to . .
57. 59. Σsin n=1 61. 4-2n+1 Σ n=1 1 (-2)" √n 12 201