Exam 11: Infinite Sequences and Series

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Find the Maclaurin series for f (x) using the definition of the Maclaurin series. Find the Maclaurin series for f (x) using the definition of the Maclaurin series.

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Select the correct Answer for each question. -Find the radius of convergence and the interval of convergence of the power series. Select the correct Answer for each question. -Find the radius of convergence and the interval of convergence of the power series.

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Select the correct Answer for each question. -Find all positive values of u for which the series Select the correct Answer for each question. -Find all positive values of u for which the series   converges. converges.

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Use the sum of the first 9 terms to approximate the sum of the following series. Use the sum of the first 9 terms to approximate the sum of the following series.   Write yourAnswer to six decimal places. Write yourAnswer to six decimal places.

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

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Find a power series representation for the function and determine the radius of convergence. Find a power series representation for the function and determine the radius of convergence.

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

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Find the sum of the series. Find the sum of 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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The terms of a series are defined recursively by the equations The terms of a series are defined recursively by the equations   Determine whether   converges or diverges. Determine whether The terms of a series are defined recursively by the equations   Determine whether   converges or diverges. converges or diverges.

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Select the correct Answer for each question. -Find all values of p for which the series Select the correct Answer for each question. -Find all values of p for which the series   converges. converges.

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Determine whether the series is convergent or divergent. Determine whether the series is convergent or divergent.

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

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Determine which series is convergent.

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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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Determine whether the geometric series converges or diverges.If it converges, find its sum. Determine whether the geometric series converges or diverges.If it converges, find its sum.

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Determine whether the series is convergent or divergent. Determine whether the series is convergent or divergent.

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Evaluate the function Evaluate the function   by a Taylor polynomial of degree   centered at   and   Select the correct Answer by a Taylor polynomial of degree Evaluate the function   by a Taylor polynomial of degree   centered at   and   Select the correct Answer centered at Evaluate the function   by a Taylor polynomial of degree   centered at   and   Select the correct Answer and Evaluate the function   by a Taylor polynomial of degree   centered at   and   Select the correct Answer Select the correct Answer

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Determine whether the series converges or diverges. Determine whether the series converges or diverges.

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Approximate the sum to the indicated accuracy. Approximate the sum to the indicated accuracy.   (five decimal places) (five decimal places)

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