Prove that $\limsup s_n + \liminf t_n \leq \limsup (s_n + t_n)$

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Prove that $\limsup s_n + \liminf t_n \leq \limsup (s_n + t_n)$. $s_n$ and $t_n$ are bounded.

I don't know how to start this, can anyone help and give a formal proof of this?