Question

How do you determine the limit of `csc x` as x approaches `oo`?

Answer 1

`csc(x)` is a oscillating function which does not "settle down" to any particular value as `xrarroo`;
`lim_(xrarroo) csc(x)` is undefinable.

Explanation:

The graph of `csc(x)` looks like:
graph{csc(x) [-4.75, 15.25, -4.2, 5.8]}
Notice that this patern continues as `xrarroo`