1. **Stating the problem:** We analyze the function $f$ based on the graph provided to find the infinite limits, limits at infinity, and equations of vertical and horizontal asymptotes. 2. **Vertical asymptotes and infinite limits:** The graph approaches $+\infty$ as $x$ approaches $1$ from the left and $-\infty$ as $x$ approaches $1$ from the right. This indicates a vertical asymptote at $$ x = 1. $$ Thus, $$ \lim_{x \to 1^-} f(x) = +\infty, \quad \lim_{x \to 1^+} f(x) = -\infty. $$ 3. **Horizontal asymptote and limits at infinity:** For large $x$ (as $x \to +\infty$), the curve rises towards a horizontal line above $y=0$, so the horizontal asymptote is $$ y = L, \quad \text{where } L > 0. $$ Since the exact value is not given, we denote the limit as $$ \lim_{x \to +\infty} f(x) = L. $$ Because the graph is not described for $x \to -\infty$, we cannot determine that limit. 4. **Summary of asymptotes:** - Vertical asymptote at $x=1$ - Horizontal asymptote at $y=L$ with $L>0$ 5. **Final answer:** $$ \lim_{x \to 1^-} f(x) = +\infty, \quad \lim_{x \to 1^+} f(x) = -\infty $$ $$ \lim_{x \to +\infty} f(x) = L, \quad \text{with horizontal asymptote } y = L.$$ This fully describes the asymptotic behavior indicated by the graph.