The Demand Function for a Product Is Modeled By $p = 4000 \left( 1 - \frac { 5 } { 5 + e ^ { - 0.0003 x } } \right)$

Multiple Choice

The demand function for a product is modeled by $p = 4000 \left( 1 - \frac { 5 } { 5 + e ^ { - 0.0003 x } } \right)$ . What is the limit of the price as x increases without bound? Round your answer to two decimal places where applicable.

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 $4000$ .
E) The limit of the price as x increases without bound is $5$ .