3. Calculus Foundations

Limits — Quiz

Test your understanding of limits with 5 practice questions.

Practice Questions

Question 1

What is the limit of the function $f(x) = \frac{2x^2 - 3x + 1}{x - 1}$ as $x$ approaches 1?

Question 2

Evaluate the limit: $\lim_{x \to 2^-} \frac{x^2 - 4}{x - 2}$.

Question 3

Find the limit: $\lim_{x \to 0} \frac{\sin(5x)}{x}$.

Question 4

What is the limit of $\lim_{x \to 3} \frac{x^2 - 9}{x - 3}$?

Question 5

Determine the value of the one-sided limit: $\lim_{x \to 1^+} \frac{x^2 - 1}{x - 1}$.