1)A computer gives the approximate value .84776 to 5 digit accuracy for the sum of the series: (-1)^n/[n(lnn)^2], from n=2 to infinity. Find a specific partial sum which is guaranteed to give this number to 5 digit accuracy?

2)A computer gives the approximate value of 4.74561 for the 10,000th partial sum. Are the partial sums of the series: 1/(n*sqrt(lnn)), from n=2 to infinity. Are the partial sums of this series unbounded? If yes, find a specific partial sum which is guaranteed to be greater thatn 100