# How I can evaluate the limit superior of a sequence?

How I can evaluate the limit superior of a sequence? I don't found in the documentation something related to this tool.

**EDIT:** the limit superior of a sequence $(x_n)$ is defined as

$$\limsup x_n=\lim_{n\to\infty} \sup \{x_k:k\ge n\} =\inf\{\sup \{x_k:k\ge n\}: n\in \mathbb N \} $$

where the first definition is the more interesting computationally.

It seems that, computationally, evaluating the limit superior is hard because it is done via "brute force". This doesn't happen only in sage, it happen also in other CAS. It seems that there is a long run in the developing of computer algebra systems.