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For each of the following series, determine if it converges or diverges. State the test used and SHOW ALL WORK! Your work is what is

For each of the following series, determine if it converges or diverges.

State the test used and SHOW ALL WORK! Your work is what is being graded.

.,_{n = 1}^{} (\frac{2 n - 1}{3 n})^{n}

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