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(Solved): (a) Show that the series \sum_(n=1)^(\infty ) ((lnn)^(2))/(n^(2)) is convergent. (b) Find an upper ...



(a) Show that the series

\sum_(n=1)^(\infty ) ((lnn)^(2))/(n^(2))

is convergent. (b) Find an upper bound for the error in the approximation

s~~s_(n)

. (c) What is the smallest value of

n

such that this upper bound is less than 0.05 ? (d) Find

s_(n)

for this value of

n

.



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