Question

use a graph or a table to find the limit.
lim(x→∞) 3/x²
lim(x→∞) 3/x² = (simplify your answer.)

Explanation:

Step1: Analyze the function behavior

As $x$ approaches infinity, the denominator $x^{2}$ grows without bound. The numerator is a constant 3.

Step2: Determine the limit

For a rational - function $\frac{a}{x^{n}}$ where $a$ is a non - zero constant and $n>0$, as $x\to\infty$, $\lim_{x\to\infty}\frac{a}{x^{n}} = 0$. Here $a = 3$ and $n = 2$.

Answer:

0