[Solution] Let us first recall that if = s, Then the sequence t n = is also convergent and in fact = = s Let a n be a bounded sequence (not necessarily
Question: Let us first recall that if = s,
Then the sequence t n = is also convergent and in fact
= = s
Let {a n } be a bounded sequence (not necessarily convergent) and define
b n =
Prove that
≤ ≤ ≤
Hint: Recall that
λ k : = ≤ a k ≤ for all k ≥ 1.
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