As a Rumor Spreads Across a College Campus, the Number $N ( t ) = \frac { 7,600 t ^ { 2 } + 3,800 t } { ( t + 3 ) ^ { 2 } }$

Short Answer

As a rumor spreads across a college campus, the number of people that have heard it can be modeled by the equation $N ( t ) = \frac { 7,600 t ^ { 2 } + 3,800 t } { ( t + 3 ) ^ { 2 } }$ where t is days since the rumor started spreading. What happens to the number of people that have heard the rumor in the long run (as $t \rightarrow \infty$ )?