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 (the quantity demanded) increases without bound, the only term in the denominator of the fraction becomes much larger than the denominator itself, causing the entire fraction to approach zero. Therefore, the price approaches the coefficient of the x term, which is 0.

The Demand Function for a Product Is Modeled by