4. Calculus Foundations

Limits Introduction — Quiz

Test your understanding of limits introduction with 5 practice questions.

Practice Questions

Question 1

Evaluate the limit: $$\lim_{x \to 1} \frac{x^2 - 1}{x - 1}$$

Question 2

Consider the function $f(x) = \frac{x^2 - 4}{x - 2}$. What is $\lim_{x \to 2} f(x)$?

Question 3

If $\lim_{x \to 0} f(x) = 3$, what can be concluded about the function at $x = 0$?

Question 4

Evaluate the limit: $$\lim_{x \to 3} \frac{x^2 - 9}{x - 3}$$

Question 5

What does it mean if a limit approaches infinity as $x$ approaches a certain value?