The limit of $\frac{3^x+4^x}{2^x + 5^x}$ as x approaches infinity How do I do this problem? The x is in the exponents. 

Factor out a $5^x$ from the numerator and denominator:
$$
\frac{3^x+4^x}{2^x+5^x}=\frac{(3/5)^x+(4/5)^x}{(2/5)^x+1}
$$
Now what happens as $x\to\infty$?
