(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
.