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?

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