The percentage of research articles in a prominent journal written by researchers in the United States during 1983–2003 can be modeled by A(t) = 26 +

33

1 + 0.5(0.6)−t

where t is time in years (t = 0 represents 1983). Numerically estimate

lim

t→+[infinity]

A(t).

(If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.)