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If (xn) ∞ to n=1 is a convergent sequence with limn→∞ xn = 0 prove that...

If (xn) ∞ to n=1 is a convergent sequence with limn→∞ xn = 0 prove that

lim n→∞ (x1 + x2 + · · · + xn)/ n = 0 .

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