The local gamae commission decided to stock a lake wit htrout. To do this, 200 trout werer introduced into the lake. The population of the trout can be approximated by
P(t)=20(10+7t)/(1+0.02t) where t is time in months since the lake was stocked and P(t) is the population after t months.

(a) determine the population in 1 year
(b) determine lim P(t) and interpret. The result is called the limiting size of the population.

(a) just substitute and simplify. Set t=12
(b) I assume you want the limit of P(t) as t goes to infinity. Since you've got a fraction you can use L'Hopital's rule to take the limit.

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