1. Limits and Continuity

Exploring Types Of Discontinuities — Quiz

Test your understanding of exploring types of discontinuities with 5 practice questions.

Practice Questions

Question 1

Which type of discontinuity happens when $f(x)$ has a hole at $x=a$ because the limit exists, but the function is either undefined there or defined with a different value?

Question 2

What best describes a jump discontinuity?

Question 3

Which situation describes an infinite discontinuity?

Question 4

For a function to be continuous at $x=a$, which condition must be true?

Question 5

A function is given by $f(x)=\dfrac{x^2-4}{x-2}$. What type of discontinuity occurs at $x=2$?