No work shown = No credit. Write a detailed solution to each of the exercises be

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No work shown = No credit. Write a detailed solution to each of the exercises below in separate sheets of paper. One exercise per page. I will deduct points if your answers are not neatly written. Investigate whether the series sigma^infinity_n=2 1/2 - n3n - 1 is convergent. If so find its sum. Consider the series sigma^infinity 1/n^2 + 1 Use the following convergence tests to determine whether it is possible to prove that the series is convergent or not The comparison test, or the limit comparison test The integral test The ratio test the convergence of sigma^infinity_n=1 2n^2 + 3n/Squareroot n^5 + 5 Use an appropriate convergence test to investigate the convergence of the following series sigma^infinity_n=1 (-1)^n 1/2 +3^n Find the radius and interval of convergence of the series sigma^infinity_n=1 n(-1)/4n (x+3)^n

Explanation / Answer

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