If $a_n\leq b_n$ then $\limsup a_n\leq \liminf b_n$
This is a statement in Royden, but I am not sure how to prove it.
If $a_n\leq b_n$ then $\limsup a_n\leq \liminf b_n$
This is a statement in Royden, but I am not sure how to prove it.
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