Exam 11: Infinite Sequences and Series

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Test the series for convergence or divergence. Test the series for convergence or divergence.

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Determine whether the sequence defined by Determine whether the sequence defined by   converges or diverges.If it converges, find its limit.Select the correct Answer converges or diverges.If it converges, find its limit.Select the correct Answer

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Find an expression for the Find an expression for the   term of the sequence.(Assume that the pattern continues.)  term of the sequence.(Assume that the pattern continues.) Find an expression for the   term of the sequence.(Assume that the pattern continues.)

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Determine which one of the p-series below is convergent.

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Find the value of the limit of the sequence defined by Find the value of the limit of the sequence defined by   Select the correct Answer Select the correct Answer

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Determine whether the series is convergent or divergent by expressing Determine whether the series is convergent or divergent by expressing   as a telescoping sum.If it is convergent, find its sum.  as a telescoping sum.If it is convergent, find its sum. Determine whether the series is convergent or divergent by expressing   as a telescoping sum.If it is convergent, find its sum.

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Use the Integral Test to determine whether the series is convergent or divergent. Use the Integral Test to determine whether the series is convergent or divergent.

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Select the correct Answer for each question. -Determine whether the sequence defined by Select the correct Answer for each question. -Determine whether the sequence defined by   converges or diverges.If it converges, find its limit. converges or diverges.If it converges, find its limit.

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Determine whether the sequence converges or diverges.If it converges, find the limit. Determine whether the sequence converges or diverges.If it converges, find the limit.

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Find the radius of convergence of the series. Find the radius of convergence of the series.

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Select the correct Answer for each question. -Determine whether the geometric series converges or diverges.If it converges, find its sum. Select the correct Answer for each question. -Determine whether the geometric series converges or diverges.If it converges, find its sum.

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Use series to evaluate the limit correct to three decimal places. Use series to evaluate the limit correct to three decimal places.   Select the correct Answer Select the correct Answer

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Test the series for convergence or divergence. Test the series for convergence or divergence.

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Determine whether the series is absolutely convergent, conditionally convergent, or divergent.Select the correct Answer Determine whether the series is absolutely convergent, conditionally convergent, or divergent.Select the correct Answer

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Select the correct Answer for each question. -Given the series Select the correct Answer for each question. -Given the series   estimate the error in using the partial sum   by comparison with the series  estimate the error in using the partial sum Select the correct Answer for each question. -Given the series   estimate the error in using the partial sum   by comparison with the series  by comparison with the series Select the correct Answer for each question. -Given the series   estimate the error in using the partial sum   by comparison with the series

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Select the correct Answer for each question. -Determine whether the sequence defined by Select the correct Answer for each question. -Determine whether the sequence defined by   converges or diverges.If it converges, find its limit. converges or diverges.If it converges, find its limit.

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Select the correct Answer for each question. -Determine which series is convergent.

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Determine which series is convergent.Select the correct Answer

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Test the series for convergence or divergence.Select the correct Answer Test the series for convergence or divergence.Select the correct Answer

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Select the correct Answer for each question. -Determine which one of the p-series below is divergent.

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