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I have analysis quiz tomorrow and i am really poor at sequences.
I dont know where to begin
Let (sn) and (tn) be sequences in R. Assume that (sn) is bounded.
Prove that liminf(sn +tn)≥liminfsn +liminftn,
where we define −∞ + s = −∞ and +∞ + s = +∞ for any s ∈ R.
-thanks
I dont know where to begin
Let (sn) and (tn) be sequences in R. Assume that (sn) is bounded.
Prove that liminf(sn +tn)≥liminfsn +liminftn,
where we define −∞ + s = −∞ and +∞ + s = +∞ for any s ∈ R.
-thanks