## Precalculus (6th Edition) Blitzer

As $x\to \infty$ , $f\left( x \right)\to 1.$
The horizontal asymptote $y=a$ means the function tends to $a$ as $x$ tends to $+\infty$ or $-\infty$. In the graph, the horizontal asymptote is $y=1$ . So, the function $f\left( x \right)$ tends to $1$ as $x$ tends to $\infty$.