Exam 11: Infinite Sequences and Series

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

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Select the correct Answer for each question. -If $600 is invested at Select the correct Answer for each question. -If $600 is invested at   interest, compounded annually, then after   years the investment is worth   dollars.Find the size of investment after 7 years. interest, compounded annually, then after Select the correct Answer for each question. -If $600 is invested at   interest, compounded annually, then after   years the investment is worth   dollars.Find the size of investment after 7 years. years the investment is worth Select the correct Answer for each question. -If $600 is invested at   interest, compounded annually, then after   years the investment is worth   dollars.Find the size of investment after 7 years. dollars.Find the size of investment after 7 years.

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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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Find the interval of convergence of the series. Find the interval of convergence of the series.

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Express the numb Express the numb   as a ratio of integers. as a ratio of integers.

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

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Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error.   Write a such that  Write a such that Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error.   Write a such that

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Find a power series representation for the function. Find a power series representation for the function.

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

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Use the power series for Use the power series for   to estimate   correct to four decimal places. to estimate Use the power series for   to estimate   correct to four decimal places. correct to four decimal places.

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Select the correct Answer for each question. -Test the series for convergence or divergence. Select the correct Answer for each question. -Test the series for convergence or divergence.

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

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Find the radius of convergence of the series.Select the correct Answer Find the radius of convergence of the series.Select the correct Answer

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Given the series Given the series   stimate the error in using the partial sum   by comparison with the series  stimate the error in using the partial sum Given the series   stimate the error in using the partial sum   by comparison with the series  by comparison with the series Given the series   stimate the error in using the partial sum   by comparison with the series

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Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error.

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Select the correct Answer for each question. -Use series to approximate the definite integral to within the indicated accuracy. Select the correct Answer for each question. -Use series to approximate the definite integral to within the indicated accuracy.

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Find the value of the limit for the sequence given.Select the correct Answer Find the value of the limit for the sequence given.Select the correct Answer

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Use the power series for Use the power series for   to estimate   correct to four decimal places.Select the correct Answer to estimate Use the power series for   to estimate   correct to four decimal places.Select the correct Answer correct to four decimal places.Select the correct Answer

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Select the correct Answer for each question. -Find the value of the limit for the sequence given. Select the correct Answer for each question. -Find the value of the limit for the sequence given.

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