Problem : Use the integral test to show that 1/(n(log(n))^{2}) converges.
Letting u = log(x) , we compute the relevant integral:
dx | = | du | |
= | |_{log(2)} ^{log(m)} | ||
= | - |
Problem : Show that the series
dx | = | ||
= | du | ||
= | (log(u)|_{2} ^{m3+1}) | ||
= | log |