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As a Rumor Spreads Across a College Campus, the Number N(t)=6,200t2+2,500t(t+3)2N ( t ) = \frac { 6,200 t ^ { 2 } + 2,500 t } { ( t + 3 ) ^ { 2 } }

Question 134

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As a rumor spreads across a college campus, the number of people that have heard it can be modeled by the equation N(t)=6,200t2+2,500t(t+3)2N ( t ) = \frac { 6,200 t ^ { 2 } + 2,500 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 tt \rightarrow \infty )?

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