logical fallacy of asymptote

asymptote

 \lim_{x \to +\infty}\left[ f(x)-(mx+n)\right] = 0 \, \mbox{ or } \lim_{x \to -\infty}\left[ f(x)-(mx+n)\right] = 0.

m,n ∈ R

 

          T.theodor                                 2022.7.22