## Lim Sup: Life Lessons.

### August 22, 2011

I’ve always felt a little uneasy with Lim Sup and Lim Inf’s. Today while reading Rudin’s Complex book, I finally "got" it.

**To find the lim sup of your sequence: **take every convergent subsequence’s limit and find the sup of those limits.

This is, of course, exactly what the definition is, but it wasn’t "visual" to me until I thought about it this way. Is there something you learned early on that you weren’t quite clear with until much, much later?