Subjects calculus

Limits Infinity

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Limits Infinity


1. Stating the problem: We need to find the limits of the function $f(x)$ as $x$ approaches infinity and negative infinity. 2. From the given information, as $x \to \infty$, the function $f(x)$ approaches 1. 3. Similarly, as $x \to -\infty$, the function $f(x)$ approaches 3. Hence, \( \lim_{x \to \infty} f(x) = 1 \) and \( \lim_{x \to -\infty} f(x) = 3 \). These describe the end behavior of the function based on the graph description.