[tex]\lim_{x\to+\infty}\dfrac{2+e^x}{x}=\lim_{x\to+\infty}\dfrac{2}{x}+\lim_{x\to+\infty}\dfrac{e^x}{x}=\\\\=0+\underbrace{\lim_{x\to+\infty}\dfrac{(e^x)^{'}}{(x)^{'}}}_{Regula\;lui\;L'Hospital}=\lim_{x\to+\infty}\dfrac{e^x}{1}=+\infty.[/tex]
Green eyes.
