**Problem : **
Use the integral test to show that 1/(*n*(log(*n*))^{2}) converges.

dx | = | du | |

= | |_{log(2)}^{log(m)} | ||

= | - |

The limit of this integral as

**Problem : **
Show that the series

diverges using the integral test. Letting

dx | = | ||

= | du | ||

= | (log(u)|_{2}^{m3+1}) | ||

= | log |

This quantity clearly has no limit as

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