I'm a little confused about the definition of limit supremum; what does it mean that the following limit is finite?
$$\limsup _{h\rightarrow \infty}\;\sup_{x\in \mathbb R}\; A(x,h)$$ where $A(x,h)$ is a function of $x$, and $h$.
I'm a little confused about the definition of limit supremum; what does it mean that the following limit is finite?
$$\limsup _{h\rightarrow \infty}\;\sup_{x\in \mathbb R}\; A(x,h)$$ where $A(x,h)$ is a function of $x$, and $h$.