Limits & continuity

What the problems look like

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

1. Warm-up

   Evaluate $\displaystyle\lim_{x \to -2} \left| x^{2} - 19 \right|$ using direct substitution (the absolute value function is continuous everywhere).

2. Warm-up

   Evaluate $\displaystyle\lim_{x \to 3} \left| x^{2} - 5 \right|$ using direct substitution (the absolute value function is continuous everywhere).

3. Warm-up

   Evaluate $\displaystyle\lim_{x \to 0} \left| x^{2} - 20 \right|$ using direct substitution (the absolute value function is continuous everywhere).

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