SolutionSeries - Penn State Altoona Math 141 Series...

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Penn State AltoonaMath 141Series ProblemsDetermine whether the following series are absolutely convergent, conditionally convergent, or divergent.1.n=1nsin(1/n)
Use the divergence test for series. We havelimn→∞nsin(1/n) = limn→∞sin(1/n)1/n= limx0sin(x)x= 1 = 0.2.n=1n2-1n3+ 2n2+ 5

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