Chapter 2.5, Problem 55E

Advertising. A company is trying to introduce a new product to as many people as possible through television advertising in a large metropolitan area with $2$ million possible viewers. A model for the number of people $N$ (in millions) who are aware of the product after $t$ days of advertising was found to be

$N=2\left(1-e^{-0.037t}\right)$

Graph this function for $0\le t\le 50$. What value does $N$ approach as $t$ increases without bound?