I am not getting anywhere I have this:
limit as x approaches infinity of (8+18e^3x)/(25e^5x+4) I keep applying L'Hopital's Rule but I just keep getting infinity over infinity.
Applying L'Hospital's Rule is fine...
$\displaystyle \lim_{x \to \infty}\frac{8 + 18e^{3x}}{25e^{5x} + 4}$
$\displaystyle = \lim_{x \to \infty}\frac{54e^{3x}}{125e^{5x}}$ by L'Hospital
$\displaystyle = \lim_{x \to \infty}\frac{54}{125e^{2x}}$ by cancelling
What happens as the denominator gets infinitely large?