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3 . 1 3 . Let { s n } be a sequence in R . Then l i m s u p n s

3.13 .

Let

{s_{n}}

be a sequence in

R .

Then

l i m s u p_{n} s_{n} = lim_{k} s u p_{n} k s_{n} lim_{k} i n f_{n} k s_{n} = l i m i n f_{n} s_{n} .

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