Answer
$\displaystyle \lim_{t\rightarrow\infty}A(t)=7.$
The number of publications will eventually level off to $7,000$ articles per year.
Work Step by Step
$t$ is "approaching $+\infty$" means that $t$ is assuming positive values of greater and greater magnitude.
See table below.
As $t$ assumes positive values of greater and greater magnitude, the function value approaches the value $7$.
So, we write
$\displaystyle \lim_{t\rightarrow\infty}A(t)=7.$
Thus, the number of publications will eventually level off to $7000$ articles per year.
