Using the TI-85 graphing calculator, give numerical evidence to evaluate

[Press here to see animation again!]

- Enter the function:
**Y = (x^2+1)/(x - 5)**and press the ENTER key. - Press 2nd MATH and pick
**MISC**by pressing F5. - Press F3 to enter
**seq**. Continue to enter the command:**seq(5-10^(-I), I, 0, 10, 1) STO x**and press the ENTER key.

- This creates a list of
**x**-values:**{4 4.9 4.99 4.999 ... 4.9999999999}**which are numbers which are getting close to

**5**on the left-hand side of**5**. - Press the EXIT key twice.
- Type
**Y**and press the ENTER key. On the screen you will then see the list of corresponding**y**-values using the function you entered above:I x Y 0 4 -17 1 4.9 -250.1 2 4.99 -2590.01 3 4.999 -25990.001 4 4.9999 -259990.0001 5 4.99999 -2599990.00001 6 4.999999 -25999990 7 4.9999999 -259999990 8 4.99999999 -2599999990 9 4.999999999 -25999999990 10 4.9999999999 -259999999990 It appears that the limit is

**- infinity**.