Introduction to Graphical Limits
Use the applet below to get the idea of graphical limits. Then answer the questions that follow.
Define what it means to take a limit in your own words.
Why is it important to visually look at the limit coming from the left and coming from the right?
In Example 1, the limit coming from the left is equal to the limit coming from the right. However, the output of the function is not equal to the limit at this specific input. What do you notice in the graph that is causing this inequality?
In Example 2, all the limits are equal and the output at this specific input is also equal to the limits. What do you notice in the graph that is causing everything to be equal?
In Example 3, the limit does not exist. What do you notice in the graph that is causing an undefined limit?