Sequence of Powers of Reciprocals is Null Sequence/Corollary

Corollary to Power of Reciprocal
Let $\left \langle {x_n} \right \rangle$ be the sequence in $\R$ defined as:
 * $x_n = \dfrac 1 n$

Then $\left \langle {x_n} \right \rangle$ is a null sequence.

Proof
$n = n^1$ from the definition of power.

As $1 \in \Q_{>0}$ the result follows from Power of Reciprocal.