for values of x near 0.

1. Choose Beginning Calculus from the initial menu and press .
2. Use the arrow keys to move to the menu item Limit of F(x), press and .
3. At the prompt F(x) =, enter the function sin(3x)/x
4. At the prompt a = , enter 0 .
5. At the prompt h = , enter 1 .
6. You will then see on the screen F(a+h) = 0.14112 001.
7. Press and use the arrow keys to move to h <<-- 1/2 h and press .
8. If you keep repeating the previous step then you will obtain a table as below:

   __________________________________________________________
   
       N          a + h/2^n       F(a + h/2^n)
      ----------------------------------------
       0        1.00000 000        0.14112 001
       1        0.50000 000        1.99498 997
       2        0.25000 000        2.72655 504
       3        0.12500 000        2.93018 023
       4        0.06250 000        2.98245 275
       5        0.03125 000        2.99560 740
       6        0.01562 500        2.99890 149
       7   7.81250 000 e-03        2.99972 535
       8   3.90625 000 e-03        2.99993 134
       9   1.95312 500 e-03        2.99998 283
      10   9.76562 500 e-04        2.99999 571
   
   On the evidence of all values of  F  calculated so far,
   we estimate  Lim  F(x) =  3.00000 000
                x-ťa+
   
   Press :
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9. If you want to see the behavior for x < 0, press after seeing the values above, use the arrow keys to move to Change h and press .
10. At the prompt h = , type -1 and proceed as above.