Consider the series
![\[ \sum_{n=1}^{\infty} \sin (\log n). \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-5ee94edb7ca4eba426131e56be2e4b05_l3.png "Rendered by QuickLaTeX.com")
Determine whether the series converges or diverges. If it converges, determine whether it converges conditionally or absolutely.
The given series diverges since
![\[ \lim_{n \to \infty} \sin (\log n) \neq 0. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-e6e83b6b339febe2acf4527114d63e30_l3.png "Rendered by QuickLaTeX.com")
Consider the series
Determine whether the series converges or diverges. If it converges, determine whether it converges conditionally or absolutely.
The given series diverges since