Continuity at a Point Worksheet with Answer Key

What's on the worksheet

1. Use continuity to find each limit.
   \lim_{x \to -1} (2x^3 - x + 4)\lim_{x \to 2} \dfrac{x^2 + 5}{3x - 1}\lim_{x \to 5} \sqrt{x^2 - 9}\lim_{x \to \pi} x \sin \dfrac{x}{2}\lim_{x \to 3} \sqrt[3]{1 - x^2}
2. Let f
3. Let $f
4. Let $u
5. Let $r
6. Decide whether each statement is true for all functions f and g and every number a.