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August 21, 2014

Homework Help: Calculus; Limits

Posted by James on Sunday, March 11, 2012 at 3:09am.

The percentage of research articles in a prominent journal written by researchers in the United States can be modeled by
A(t) = 26 + (36/1 + 0.8(0.8)^−t'),
where t is time in years (t = 0 represents 1983). Numerically estimate
lim as t→+infinity A(t).

I calculated
A(t)= 26 + (36/1 + 0.8(0.8)^−1983)
and got nothing.(0.8(0.8)^−1983)<- this doesn't work)


Also
Interpret the answer. (Does it have anything to do with the answer? The percentage I mean, if there is, how do i determine the answer below?)

A.In the long term, the percentage of research articles in the journal written by researchers in the U.S. approaches 26%.
B.In the long term, the percentage of research articles in the journal written by researchers in the U.S. approaches 36%.
C.In the long term, the number of research articles in the journal written by researchers in the U.S. approaches 26
D.In the long term, the percentage of research articles in the journal written by researchers in the U.S. approaches 0%.

Don't know why its wrong. Help Please. Thank you.

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