For the function ,use a graphing utility to complete the table and estimate the limit as x approaches infinity.

A) 0.6
B) 2.5
C) 1.25
D) 3.68
E) does not exist

Question

​For the function  ,use a graphing utility to complete the table and estimate the limit as x approaches infinity. ​
​ 
A) ​0.6 
B) ​2.5 
C) ​1.25 
D) ​3.68 
E) ​does not exist

Quizplus · Accepted Answer

As x approaches infinity, the denominator increases at a faster rate than the numerator. Thus, the fraction approaches 0.5. Adding 0.75 to this gives an estimate of 1.25. Therefore, the limit as x approaches infinity is approximately 1.25, which is choice C.

​For the Function ,Use a Graphing Utility to Complete

For the Function ,Use a Graphing Utility to Complete