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How to Find Limits on TI-83 Plus

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on 19 September 2013

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Transcript of How to Find Limits on TI-83 Plus

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

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
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