# Solve Limit Problems on a Calculator Using Graphing Mode

A limit problem asks you to determine what the y value of a function is zeroing in on as the x value approaches a particular number. With your calculator, you can solve a limit problem using graphing mode.

To begin, enter the limit expression in graphing or “y =” mode, go to Table Setup, set Tblstart to the arrow-number, and set

to something small like 0.01 or 0.001. When you look at the table, you’ll often see the y values getting closer and closer to the limit answer as x homes in on the arrow-number. If it’s not clear what the y values are approaching, try a smaller increment for the

number. This method often gives you a good feel for what’s happening in a limit problem.

## Practice questions

1. Evaluate
2. Use your calculator to determine

Step 1. Enter

in graphing or “y =” mode.
Step 2. Go to Table Setup and set tblStart to the arrow-number, 6, and

to 0.01.
Step 3. Go to the Table and you’ll see the y values getting closer and closer to 7 as you scroll toward x = 6 from above and below 6.