limit of two sequences tending to zero

Suppose there are two real-valued sequences $x_n$ and $y_n$ both tending to 0 as $n\rightarrow\infty$. Are there any examples such sequences for which\begin{equation*}\frac{x_n}{y_n}\rightarrow 1\end{equation*}except the case where $x_n=y_n$ for all $n$?

I could not possibly think of anything so far.