1. Limits and Continuity

Limit Laws — Quiz

Test your understanding of limit laws with 5 practice questions.

Practice Questions

Question 1

Which of the following is the correct statement of the Constant Law for limits?

Question 2

Given that $\lim_{x \to 2} f(x) = 3$ and $\lim_{x \to 2} g(x) = 4$, what is the value of $\lim_{x \to 2} [f(x) - g(x)]$?

Question 3

If $\lim_{x \to 3} f(x) = 5$ and $\lim_{x \to 3} c = c$ (where $c$ is a constant), what is the value of $\lim_{x \to 3} [c \cdot f(x)]$?

Question 4

Evaluate the limit: $$\lim_{x \to 1} (x^2 + 3x - 5)$$

Question 5

Which limit law allows us to state that $\lim_{x \to a} x^n = a^n$?