The demand function for a product is modeled by What is the limit of the price as x increases without bound?
A) The limit of the price as x increases without bound is -1.
B) The limit of the price as x increases without bound is 1.
C) The limit of the price as x increases without bound is 0.
D) The limit of the price as x increases without bound is 3,000.
E) The limit of the price as x increases without bound is 4.

Question

The demand function for a product is modeled by  What is the limit of the price as x increases without bound?
A) The limit of the price as x increases without bound is -1. 
B) The limit of the price as x increases without bound is 1. 
C) The limit of the price as x increases without bound is 0. 
D) The limit of the price as x increases without bound is 3,000. 
E) The limit of the price as x increases without bound is 4.

Quizplus · Accepted Answer

As x increases without bound, the denominator of the fraction (1 + 0.001x) in the demand function becomes very large relative to the numerator. This means that the entire fraction approaches 0. Therefore, the limit of the price as x increases without bound is 60,000/0.001 multiplied by 0, which equals 0. So, the answer is C.

The Demand Function for a Product Is Modeled by