Summarize each of the following series tests we’ve talked about in this class.

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Graded Standard
C.6. Convergence Testing. Compare and contrast the different convergence tests for infinite series from the course. For a given infinite series, reason through the specifics of why specific convergence tests are appropriate or not appropriate.
Writing Prompts
In this written response, you should:
Summarize each of the following series tests we’ve talked about in this class. Compare and contrast them, talking specifically about the processes/steps involved, but also what the main goals of each technique are and what kinds of situations they are appropriate:
Integral Test
Direct/Limit Comparison Test
Ratio Test
Root Test
Pick one of the following series. For each series test above, reason through whether it could be applicable or not, and how you could approach the series with that test. You should probably spend some time trying to apply each test, but your written response should just be a written summary of what that looks like. Afterwards, discuss which series test(s) fit the series you chose best, and explain why.
General Instructions
These written responses should be typed and submitted as either a pdf or a Word doc or docx file. It should be written as a small essay, with complete sentences and paragraphs.
You can use the equation editor in whatever word processor you’re using (Google Docs, Word, Pages, etc.) to include math notation.
You can include pictures or visuals if it helps.
There is no formal length requirement, but you should include enough detail to make it clear that you understand the different tests that we apply to series.

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