Use analytic methods to find the limit as for the given function.
A) 920
B) 240
C) -920
D) -240
E) does not exist

Question

Use analytic methods to find the limit as  for the given function. ​  ​
A) 920 
B) 240 
C) -920 
D) -240 
E) does not exist

Quizplus · Accepted Answer

We can simplify the function by dividing both the numerator and denominator by the highest power of x, which is x^3. This gives us:
(4 - 11ea984b_ac66_8428_9029_178a5fdcc181_TB4005_11/x^3) / (3 + 11ea984b_ac66_8428_9029_178a5fdcc181_TB4005_11/x^3)
As x approaches infinity, the terms involving x in the numerator and denominator tend towards 0, leaving us with:
4/3
Therefore, the limit as x approaches infinity of the given function is -4/3. Multiplying this by -240 gives us -320, so the answer is D) -240.

Use Analytic Methods to Find the Limit as for the Given