Question

how to find the limit of a hyperbolic function as x approaches infinity

Answer 1

a hyperbola has asymptotes essentially built into its equation

Answer 2

\[\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\]
\[Asymp=\pm\frac{b}{a}(x-h)+k\]