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HOW TO FIND THE LIMIT OF A FUNCTION WITH TI89 CALCULATOR

Option 1: Using a function typed into y1
 
Steps Key Sequence Screens
1. Input Equation into Y1
If needed, instructions for using a
piecewise-defined function
.
 
2. Quit Equation Editor Press 2nd, then ESC (for QUIT)
3. Select Limit Function Press F3 (for Calc menu)
  Press 3 (for 'limit(')
4. Input Function Press y, then 1,
then (x)
5. Input Independent Variable Press 'comma' key, then x
6. Input Point of Limit Press 'comma' key, then select appropriate number
7. Input Direction of Limit Press 'comma' key, then
  1. Press (-), then 1 for limit from left
 
  1. Press 1 for limit from right
 
  1. Press nothing for bidirectional limit
8. Execute Press ')', then ENTER
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Option 2: Using Home Screen
 
Steps Key Sequence Screens
1. Select Limit Function Press F3 (for Calc menu)
  Press 3 (for 'limit(')
2. Input Function  
3. Input Independent Variable Press 'comma' key, then x
4. Input Point of Limit Press 'comma' key, then select appropriate number
5. Input Direction of Limit See step 7 above
6. Execute Press ')', then ENTER
Option 3: Evaluating Limits at Infinity
 
Steps Key Sequence Screens
  Follow steps 1 – 5 (Option 1)
OR steps 1 – 3 (Option 2)
1. Input Point of Limit
(i.e., infinity OR –infinity)
Press 'comma' key, then 'diamond' key, then CATALOG key (for infinity symbol)
2. Execute Press ')', then ENTER