Sequence spaces dense

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Let $p,q \in [1,+\infty]$, with $p \leq q.$. I have no idea how to prove that, if $q < +\infty$, then $l^p(\mathbb{N})$ is dense in $l^q(\mathbb{N})$, where $$l^p(\mathbb{N})=\left\{(x_h)\subset\mathbb{R}: \sum_{h=0}^{\infty} |x_h|^p < +\infty \right\}.$$ Would you give me a hint? Thanks you.