**How to Find Limits on TI-83 Plus**

**Step 1**

Press [Y=] and enter a limit problem

Problem: Find the limit of (x+1)/(x-1) as X approaches 3

Example #2

Problem: Find the limit of (x^2-25)/(x-5) when X approaches 5

**Talar Boyadjian**

Calculus

18 September 2013

Calculus

18 September 2013

Step 2

Adjust the [WINDOW], then press [GRAPH] to display the graph

Step 3

Press [2nd] followed by [TBLSET]

Enter the proper settings

Step 4

Press [2nd] followed by [TABLE]

Look at the numbers in the table to find the limit as X approaches the number you are looking for (for example as X approaches to 3)

Example #1

More Steps

Step 3: Graph the display, then go to [TBLSET]

Step 4: Enter 2.96 for the [TblStart] and enter [AUTO] for the independent and dependent

Step 5: Go to [TABLE] and see that Y=2 as X approaches 3

Step 6: Pat yourself on the back for finding limits on your calculator :)

Steps to Finding the Limit

Step 1: Type in (x+1)/(x-1) into [Y=]

Step 2: Press [WINDOW] and enter

xmin=-5 xmax=5 xscl=1

ymin=-10 ymax=10 yscl=10

Start

Step 1: Type in (x^2-25)/(x-5) into [Y=]

Step 2: Press [WINDOW] and enter

xmin=-10 xmax=10 xscl=1

ymin=-10 ymax=10 yscl=10

Finish

Step 3: Graph the display, then go to [TBLSET]

Step 4: Enter 2.96 for the [TblStart] and enter [ASK] for the independent and dependent

Step 5: Go to [TABLE] and start by inserting 4.96 to 4.97...etc into the X values until 5, then insert 5.01 and 5.02

Step 6: Observe that Y=ERROR as X approaches 5

Example #3

Problem: Find the limit of x^2 as X approaches 4

Finish

Step 3: Graph the display, then go to [TBLSET]

Step 4: Enter 2.96 for the [TblStart] and enter [ASK] for the independent and dependent

Step 5: Go to [TABLE] and start by inserting 3.96, 3.97...etc into the X values until 4, then insert 4.01 and 4.02

Step 6: Observe that Y=16 as X approaches 4

Start

Step 1: Type in X^2 into [Y=]

Step 2: Press [WINDOW] and enter

xmin=-10 xmax=10 xscl=1

ymin=-10 ymax=10 yscl=10

Example #4

Problem: Find the limit of (x+4)^(1/3) as X approaches 4

Start

Step 1: Type in (x+4)^(1/3) into [Y=]

Step 2: Press [WINDOW] and enter

xmin=-10 xmax=10 xscl=1

ymin=-10 ymax=10 yscl=10

Finish

Step 3: Graph the display, then go to [TBLSET]

Step 4: Enter 2.96 for the [TblStart] and enter [ASK] for the independent and dependent

Step 5: Go to [TABLE] and start by inserting 3.96, 3.97...etc into the X values until 4, then insert 4.01 and 4.02

Step 6: Observe that Y=2 as X approaches 4

Example #5

Problem: (x-2)/abs(x-2)

Step 1: Type in (x-2)/abs(x-2) into [Y=]

Step 2: Press [WINDOW] and enter

xmin=-10 xmax=10 xscl=1

ymin=-10 ymax=10 yscl=10

Step 3: Graph the display, then go to [TBLSET]

Step 4: Enter 2.96 for the [TblStart] and enter [ASK] for the independent and dependent

Step 5: Go to [TABLE] and start by inserting 1.96, 1.97...etc into the X values until 4, then insert 4.01 and 2.02

Step 6: Observe that Y=ERROR as X approaches 2