It is a fact that the function 5x2 86x2 6 has a limiting va
It is a fact that the function (5x2  8)/(6x2 + 6) has a limiting value. Use a table of values to estimate the limiting value. (Suggestion: We suggest starting the table at 0 and using a table increment of 20. Round your answer to three decimal places.)
Solution
x
y
0
-1.33333
20
0.831255
40
0.832813
60
0.833102
80
0.833203
100
0.83325
120
0.833275
140
0.833291
160
0.833301
180
0.833308
200
0.833313
220
0.833316
by using diffrent values of x starting from 0 with increment of 20 we can obtain corresponding values of the function. and as we can see from the table, the limiting value is 0.833
| x | y | 
| 0 | -1.33333 | 
| 20 | 0.831255 | 
| 40 | 0.832813 | 
| 60 | 0.833102 | 
| 80 | 0.833203 | 
| 100 | 0.83325 | 
| 120 | 0.833275 | 
| 140 | 0.833291 | 
| 160 | 0.833301 | 
| 180 | 0.833308 | 
| 200 | 0.833313 | 
| 220 | 0.833316 | 


