How to Determine if a Limit Does Not Exist


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Which of the following defined domains of f means that the left-hand limit as x goes to 0 does not exist?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. Given the following values of the one-sided limits of f at x = c, which one means that the two-sided limit does not exist?

2. Given the following graph, which of the following limits do not exist?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

Answer these questions to see how much you know about determining if a limit does not exist. You'll be assessed on topics like the left-hand limit of f(x) and a value that means that a two-sided limit doesn't exist.

Quiz & Worksheet Goals

Quiz questions will address the following study points:

  • Limits that don't exist in a given graph
  • One-sided and two-sided limits on a graph
  • Value of a limit in a graphed function

Skills Practiced

  • Problem solving - use acquired knowledge to solve practice problems for limits that don't exist
  • Information recall - access the knowledge you've gained regarding how to find the value of limits
  • Critical thinking - apply relevant concepts to examine information about determining limits in a different light

Additional Learning

Study the subject further via the lesson we've called How to Determine if a Limit Does Not Exist. You'll be learning about these bullet points:

  • Left-hand limits and how they function
  • The value of right-hand limits
  • Analysis of two-sided limits
  • Ways of recognizing when a limit doesn't exist on a graph