Sometimes when trying to find the limit of a function $f(n)$ when $n\to\infty$ using
Limit[f,n->Infinity], it seems that Mathematica is unable to compute it numerically. Instead, I get a result like
in place of a numerical value. I'm guessing it is unable to simplify the expression enough to be able to compute a value. In this case it would be helpful at least to know if the limit exists, but I haven't found a way to determine this after reading the Mathematica documentation.
My questions are:
If Mathematica returns the original expression when using
Limit, does this mean it is unable to compute the limit, or am I missing something?
How may I determine the existence of a limit in Mathematica, when it is not possible to determine a value for it?