Źródło TeX:

\underset{x\rightarrow + \infty }{\lim }\dfrac{e^{x^{2}}}{x^{3}}=\left[ \dfrac{\infty }{\infty }\right] \overset{\text{H}}{=}\underset{x\rightarrow +\infty } {\lim }\dfrac{(e^{x^{2}})^{\prime }}{(x^{3})^{\prime }}=\underset{ x\rightarrow +\infty }{\lim }\dfrac{e^{x^{2}}\cdot 2x}{3x^{2}}=\underset{ x\rightarrow +\infty }{\lim }\dfrac{2e^{x^{2}}}{3x}=\left[ \dfrac{\infty }{\infty }\right] \overset{\text{H}}{=}