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1 Overview of Convergence Tests Examples Determine whether the series converges absolutely converges conditionally or diverges Name the test used and show all conditions are met X n3 n5 5n4 7 n 1 X n 2 1 n n 1 X 1 n 1 n 3 n 1 1 X 1 n 1 n 1 3n 22n n 1 X 2n2 1 n2 n 0 X sin n1 n2 n 1 2 For the last series s100 1 037392940198405 Estimate how close this is to the actual sum of the series How many terms are needed to find the sum of the third and fourth series correct to within 0 001 3
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