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Determine whether a term-size comparison can be made between an and b. Then determine whether a xo conclusion about the convergence or divergence of

Determine whether a term-size comparison can be made between an and b. Then determine whether a xo conclusion about the convergence or divergence of a, can be made based on this comparison and, if so, what the conclusion is. (a) an= (b) an= (c) an = 1 en + n 1 en-n 3n2 (d) an = and b and ba and b = = 1 n 1 en 3n n 2n +5 n-n+5 n -3n+6 the following additional test for comparing series was suggested. and br - 71=1 1 n The Limit Comparison Test an Suppose an> 0 and b> 0 for all n. If lim nc b an and bn either both converge or both diverge. =c, where c is finite and c> 0, then the two series For any of the series from problem 5 for which a conclusion could not be drawn by term-wise comparison, apply the limit comparison test and determine what (if any) conclusion can be drawn.

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