# Math Help - Confused with Limits

1. ## Confused with Limits

I have this problem that I just can't wrap my head around

Lim x->infinity

[(3e^3x)+(2e^x)-1]
--------------------
[(e^3x)-(e^2x)+5]

I started by dividing both numerator and denominator by e^x and eventually got an answer of 3, but somehow I have a feeling I'm wrong.

Any Ideas?

2. $\frac{{3e^{3x} + 2e^x - 1}}
{{e^{3x} - e^{2x} + 5}} = \frac{{3 + \frac{2}
{{e^{2x} }} - \frac{1}
{{e^{3x} }}}}
{{1 - \frac{1}
{{e^x }} + \frac{5}
{{e^{3x} }}}}
$