# Graphical Limits

This applet demonstrates the concept of limits graphically. You can drag the red dot to change the x-value. Notice that the red vector describes the value (height) of f(x).

## Question 1

What is f(x) approaching as x is approaching 4 from the left hand side?

## Question 2

What is f(x) approaching as x is approaching 4 from the right hand side?

## Question 3

What do your answers to 1 and 2 say about the limit of f(x) at x = 4?

## Question 4

For what x-value(s) does the limit of f(x) NOT exist? Report all that apply.