Problem

乙、計算、證明題：共 3 題，每題 12 分，共 36 分。須詳細寫出計算及證明過程，否則不予計分。

3. Determine whether the series $\displaystyle\sum_{n=3}^{\infty}\dfrac{\ln n}{\ln\ln n}$ converges absolutely or conditionally, or diverges.