# Math Help - Generalized Sequence

1. ## Generalized Sequence

This is my own question I was wondering of. We can generalize integration by using the Lebesque integral for bounded functions. Can we generalize the limit of a sequence for bounded sequences?

For example how will we define $\lim (-1)^n = ?$.

2. The Banach limit of the sequence $((-1)^n)$ is zero.

3. Sweet.