This exercise is about limits at infinity. The population of a certain species living in certain a limited environment can be modelled by 432000 P(t) = %3D 600 + 1000et" where the time, t, is measured in years since January 1st, 2020, and P(t) is the number of individuals at time t. As t grows to arbitrarily large values, the number of individuals, P(t), stabilizes at a certain value K, called the environmental caring capacity. Determine the value of K by evaluating the limit lim P(t). Type the numerical value of lim P(t) in decimal form and without a comma.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.