Practice Infinity in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A concept representing a quantity that grows without bound โ€” infinity is not a real number but a description of unbounded behavior.

Going on forever without end. Infinity is a direction or limiting idea, not a number you can reach or write down.

Example 1

easy
Evaluate \lim_{x \to \infty} \frac{3x^2 + 5}{x^2 - 1}.

Example 2

medium
Evaluate \lim_{x \to \infty} \frac{2x^3 - x}{5x^2 + 3}.

Example 3

easy
Evaluate \lim_{x \to \infty} \frac{1}{x^3}.

Example 4

medium
Evaluate \lim_{x \to 0^+} \frac{1}{x^2}.