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(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`

.