Is it possible to give Mathematica
a limit about's function at infinity?
For example I would like to
Limit[F[r], r -> \[Infinity], Assumptions -> F[\[Infinity]] == 0]
To evaluate to zero. What are my options? And will is there a way to impose stronger conditions, for example if $F(x)$ would behave as $1/r^2$ at infinity is it possible to assume this in Mathematica
? So that for example one might calculate
$$ \lim_{r \to \infty} r F(r) = 0 \quad \text{for} \; F(r) \approx 1/r^2 \; \text{with} \; r \gg1. $$
Mathematica
, so now I'm finding the limit of that expression. $\endgroup$