1. ## Unbounded sequences

Can someone give me an example of two distinct unbounded sequences $(x_n)$ and $(y_n)$ where:

$|x_n-y_n| \rightarrow 0$ as $n \rightarrow \infty$.

I can't think of any so just one example should help me understand the topic better.

2. Hello,
Originally Posted by 0-)
Can someone give me an example of two distinct unbounded sequences $(x_n)$ and $(y_n)$ where:

$|x_n-y_n| \rightarrow 0$ as $n \rightarrow \infty$.

I can't think of any so just one example should help me understand the topic better.
$x_n=n$ and $y_n=\frac 1n+n$ ?