Answer
$P=1=100$%
Work Step by Step
Find the horizontal asymptote.
$P=\frac{0.5+0.9(n-1)}{1+0.9(n-1)}=\frac{-0.4+0.9n}{0.1+0.9n}$
The denominator and numerator have the same degree. The horizontal asymptote is the ratio of the leading coefficients:
$P=\frac{0.9}{0.9}=1$
