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2) (10 points) Determine whether the series below converges or diverges. If the series converges, determine if the convergence is absolute or conditional and explain
2) (10 points) Determine whether the series below converges or diverges. If the series converges, determine if the convergence is absolute or conditional and explain why. To earn credit, justify your work. In particular: I State any convergence test(s) you use and clearly explain why the test(s) apply. 0 Show any calculations that are necessary to apply the given test. Justify any limits you take by clearly indicating dominant terms or, if dominant term analysis dog not apply, showing all your reasoning. I Explain the conclusions of the test and how they apply to the given series. In particular. for convergent series. determine whether the series converges absolutely or conditionally and justify your conclusion. 0 Present a complete argument and use proper notation. You may quote any results about pseries or geometric series, but you must clearly explain why the type of series you are considering converges or diverges and show any relevant calculations. i\": sin(2k2 1) 15:1 {cs/2
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