# 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

**Evaluate**

**Use your calculator to determine**

## Answers and explanations

**The answer is 7.**in graphing or “

**Step 1.**Enter

*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.

So, 7 is your answer.

**The answer is 1.**Enter the function in graphing mode like this:

Then go to*table setup*and enter a small increment into

(try 0.01 for this problem), and enter the arrow-number, 0, into

*tblStart*. When you scroll through the table near*x*= 0, you’ll see the*y*values getting closer and closer to the round number 1. That’s your answer. This problem is*not*easy to do with algebra.

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