Chapter 11.3, Problem 90E

a.

To determine

To show that $a_n=n^{-\ln \left(\ln \left(\ln n\right)\right)}$ for the given series.

b.

To determine

To show that $\ln \left(\ln \left(\ln n\right)\right)\ge 2$ if $n>C$ .

c.

To determine

To show that the series ${\displaystyle \sum _{n=2}^{\infty }{\left(\ln \left(\ln n\right)\right)}^{-\ln n}}$ converges.