Is the following argument true or false Give reasons foryour answer.Consider the

Chapter 9, Problem 98

(choose chapter or problem)

Is the following argument true or false? Give reasons foryour answer.Consider the infinite series +n=21n(n 1). Since1n(n 1) = 1n 1 1n we can write this series as+n=21n 1 +n=21n.For the first series an = 1/(n 1). Since n 1 < nwe have 1/(n 1) > 1/n and so this series diverges bycomparison with the divergent harmonic series +n=21n.The second series is the divergent harmonic series. Sinceboth series diverge, their difference also diverges.

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