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The convergence or divergence of the given series.... | Filo

The convergence or divergence of the given series.... | Filo

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SOLVED: Determine if the following series converge or diverge; make sure to explicitly state what test you used to determine convergence or divergence and proof for why it passed or failed, similarly to what we did in class: Circle the test you used, if none iS given will take off a lot of points Ex) [ used the p-series test to show the harmonic series iS divergent since P <In(n) 211

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SOLVED: For a sequence given by the following formulas, determine the convergence or divergence of the sequence (sn). Find any limits that exist. If the sequence is convergent, prove your answer by directly verifying the Îµ-N definition of limit or verifying the appropriate theorem/criterion. If the sequence is divergent, justify your answer.(a) sn = n - 1 / (3n 5)(b) s1 = 5 and sn 1 = âˆš(4sn 1) for n â‰¥ 1(c) s1 = 1 and sn 1 = sn (-1)^(n 1) / 3(d) sn = 1 1/2 1/3 ... 1/n

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SOLVED:Find an explicit formula an= for each sequence, determine whether the sequence converges or diverges, and, if it converges, find limn →∞ an -1, (2)/(3),-(3)/(5), (4)/(7),-(5)/(9), …

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