[tex]\text{Sa tinem cont de faptul ca } e\ \textless \ \pi\ \textless \ 4\\
\displaystyle\limit\lim_{x\to \infty} \dfrac{e^x+\pi^x}{4^x}=\displaystyle\limit\lim_{x\to \infty} \left(\dfrac{e}{4}\right)^x +\displaystyle\limit\lim_{x\to \infty} \left(\dfrac{\pi}{4}\right)^x = 0+0=\boxed{0}[/tex]
