1. Limits and Continuity

Removing Discontinuities — Quiz

Test your understanding of removing discontinuities with 5 practice questions.

Practice Questions

Question 1

What does it mean to remove a discontinuity in a function at a point?

Question 2

For the function $f(x)=\frac{x^2-1}{x-1}$, what value should be assigned to $f(1)$ to remove the discontinuity?

Question 3

Why is the discontinuity in $g(x)=\frac{x^2-9}{x-3}$ removable?

Question 4

Which condition must be true for a discontinuity at $x=a$ to be removable?

Question 5

For $h(x)=\frac{(x-2)(x+5)}{x-2}$, what is the simplest continuous extension at $x=2$?