2. Pure Calculus

Limits Continuity — Quiz

Test your understanding of limits continuity with 5 practice questions.

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Practice Questions

Question 1

Which of the following statements is true regarding the Intermediate Value Theorem?

Question 2

Consider the function $f(x) = \frac{|x|}{x}$. Which of the following describes the discontinuity at $x=0$?

Question 3

What is the value of the limit: $$\lim_{x \to 3} \frac{x^2 - 5x + 6}{x - 3}$$

Question 4

For a function $f(x)$ to be continuous at a point $x=a$, which of the following conditions must be met?

Question 5

What is the limit of the sequence $a_n = \frac{4n^2 - 3n + 1}{2n^2 + 5n - 7}$ as $n \to \infty$?
Limits Continuity Quiz — AS-Level Further Mathematics | A-Warded