1. Apply the integral test to determine if the series 1 n(In(n))2 converges or diverges. Show your computations for this and state your conclusion explicitly. 2. For the p-series calculate ss, the fifth partial sum of the series. Include a table of values used to do this computation or include the spreadsheet file (use *.xlax, *.xls, *.ods, or *.cav files only please). Then use the integral test error estimation to find an interval that contains the true value of the series.4:49 III LTE (3] Step 2/2 Done To calculate the fifth partial sum of the series 2 3 n21 I1 we add up the terms from n=1 to n:5: 1 1 1 1 1 1 1 1 1 1 8,551 I I l I i I I I I i 33'43'53 1'8'27'64'125 6,000 To use the integral test error estimation to find an interval that contains the true value of the series, we can use the following inequality: 00 1 1 Sn if 3dX g 3 n+1 X (n -l- 1) where S_n is the nth partial sum of the series. We want to find an interval that contains the true value of the series, so we need to estimate the error when we use the fifth partial sum s_5 as an approximation. Substituting n:5 into the above inequality, we get: 1 1