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=1n2n3+ 1∞Xn=1rn − 1n∞Xn=1(−1)n+14√n1∞Xn=1(−1)n+13nn22n∞Xn=21n(ln n)2∞Xn=11 · 3 · 5 ···(2n − 1)5nn!2For the penultimate series, s100≈ 1.89283 . Estimate how close this is to the actual sum of the ser ies.How many terms are needed to find the sum of the third and fourth series correct to within
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