1. We are asked to evaluate the limit $$\lim_{x \to 0} \frac{1}{x^2}$$ and determine if it equals infinity. 2. Recall that $x^2$ is always positive except at $x=0$, and as $x$ approaches 0, $x^2$ approaches 0 from the positive side. 3. The expression $\frac{1}{x^2}$ means dividing 1 by a very small positive number, which results in a very large positive number. 4. Therefore, as $x$ approaches 0, $\frac{1}{x^2}$ grows without bound towards positive infinity. 5. In limit notation, we write: $$\lim_{x \to 0} \frac{1}{x^2} = +\infty$$ 6. So yes, the limit tends to infinity (oneindig in Dutch) as $x$ approaches 0. Final answer: $$\lim_{x \to 0} \frac{1}{x^2} = +\infty$$