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I have this analysis homework due tomorrow.

This is one of my problems.

Let (sn) and (tn) be sequences in R. Assume that lim sn = s ∈ R. Then lim sup(sn +tn) = s+limsup(tn).

I don't even know how to approach it. Even though it seems very straight forward.

This is one of my problems.

Let (sn) and (tn) be sequences in R. Assume that lim sn = s ∈ R. Then lim sup(sn +tn) = s+limsup(tn).

I don't even know how to approach it. Even though it seems very straight forward.

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