Introduction to limits

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   Let $f(x) = \frac{12x^{2} + 9x + 3}{4x^{2} + 6}$. Describe the end behavior of $f$ using limit notation by evaluating $\lim_{x \to \infty} f(x)$.

2. Warm-up

   Let $f(x) = \frac{18x^{2} + 2x + 1}{3x^{2} + 8}$. Describe the end behavior of $f$ using limit notation by evaluating $\lim_{x \to \infty} f(x)$.

3. Warm-up

   Let $f(x) = \frac{16x^{2} + 4x + 4}{4x^{2} + 8}$. Describe the end behavior of $f$ using limit notation by evaluating $\lim_{x \to \infty} f(x)$.

Problems shown under their original terms: Generated (template, solver-computed).