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

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Answer 1 · 2018-01-02T12:57:09

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

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

How do you determine the limit of csc xcsc x as x approaches oooo?