# Thread: Limit as x approaches infinity

1. ## Limit as x approaches infinity

in order to do this problem I have I must solve the limit of
P(t)=6000-5500e^(-0.159t) as t approaches infinity. I know that the limit is 6000 I just don't know how to show the work to prove this. Please Help!

2. $e^{-0.195t}=\frac{1}{e^{0.195t}}$

As t approaches infinity, so does $e^{0.195t}$

hence that part approaches zero.