4. Let {xn} be a sequence ofreal numbers. Suppose that for each e > 0 there is...
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4. Let {xn} be a sequence ofreal numbers. Suppose that for each e > 0 there is an N E N such that m 2: n 2: N implies I 2:~=n Xk 1<
e. Prove that exists and is finite.
n lim '"' Xk n---+(X) L..-t k=l
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