?(a) Show that the series \(\sum_{n-1}^{\infty}(\ln n)^{2} / n^{2}\)is convergent.(b)
Chapter 9, Problem 44(choose chapter or problem)
(a) Show that the series \(\sum_{n-1}^{\infty}(\ln n)^{2} / n^{2}\)is convergent.
(b) Find an upper bound for the error in the approximation \(s \approx s_{n}\).
(c) What is the smallest value of n such that this upper bound is less than 0.5?.
(d) Find \(s_{n}\) for this value of n.
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