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lim sup
noun
Limit superior
Exact(60)
C, lim?sup t ?
Let b = st- lim sup x.
Now suppose that lim sup q r = ∞.
Then lim sup n → ∞ s n = 0.
Thus lim sup n ||w n || < 1.
Then, lim sup n → + ∞ c n = α.
Proof Let lim sup r q r < ∞.
This yields lim sup n → ∞ diam ( T ( X ) ) n ≤ k lim sup n → ∞ diam X n.
Proof Suppose that lim sup r q r α < ∞ and lim sup s q s α < ∞.
Thus D e n ) = lim sup m (lim sup n ||e n - e m ||) = 2.
These entail lim sup k → ∞ ∥ x n k − w ∥ ≤ lim sup k → ∞ ∥ x n k − z ∥.
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