1 Overview of Convergence TestsExamples: Determine whether the series conver ges absolutely, converges conditionally, or diverges.Name the test used and show all co nditions are met.∞Xn=1n3n5+ 5n4+ 7∞Xn=1nn2+ 1∞Xn=1(−1)n+1n + 31∞Xn=1(−1)n+1(n + 1)3n22n∞Xn=02n21 + n2∞Xn=1sin(1n)n22For the last series, s100= 1.037392940198405 . Estimate how close this is to the actual sum of theseries.How many terms are needed to find the sum of the third and fourth series correct to within
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