Asymptotic behavior in terms of limits involving infinity

Practice Questions

AP Calculus AB › Asymptotic behavior in terms of limits involving infinity

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Assume that a population of bunnies grows at a rate of where is the number of bunnies in the population at time . If the population begins with 14 bunnies, given unlimited time to grow, how many bunnies do you expect there to be in the population?

Note: No integration is required for this problem.

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The function has a horizontal asymptote at y=0. What does the presence of the horizontal asymptote imply?

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Compute

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