# Help with Limit Question

1. Apr 3, 2014

### student93

1. The problem statement, all variables and given/known data

Lim (3^x+4^x)/(7^x) x -> ∞

2. Relevant equations

3. The attempt at a solution

I broke the limit up into two parts:

Lim (3^x)/(7^x) x -> ∞ + Lim (4^x)/(7^x) x -> ∞

However, I don't know where to go from here.

2. Apr 3, 2014

### Curious3141

Note that $\frac{3^x}{7^x} = (\frac{3}{7})^x$.

What's the limit of $a^x$ where $0 < a < 1$ as x goes to infinity?