Prove that \begin{equation}\lim_{x\to \infty}\,\frac{1}{x}=0.\end{equation}

Problem: 

Prove that \begin{equation}\lim_{x\to \infty}\,\frac{1}{x}=0.\end{equation}

Answer: 

It is true that \begin{equation}\lim_{x\to \infty}\,\frac{1}{x}=0.\end{equation}