verify that the infinite series (-1)^n/n(ln(n))^2 converges. a computer gives the approximate value .84776 to 5 digit accuracy for the sum of this...

verify that the infinite series (-1)^n/n(ln(n))^2 converges. a computer gives the approximate value .84776 to 5 digit accuracy for the sum of this series. find a specific partial sum which is guaranteed to give this number to 5 digit accuracy. give evidence supporting your assertion.