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 $n \to \infty$?