Calculus

The percentage of research articles in a prominent journal written by researchers in the United States can be modeled by
A(t) = 25 + (36/1 + 0.6(0.7)^−t'),
where t is time in years (t = 0 represents 1983). Numerically estimate
lim as t→+infinity A(t).

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  1. well, since 0.7 < 1, 0.7^-t -> infinity

    So, all that stuff on the right -> 0, and A(t) -> 25

    typical example of logistic growth.

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