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3. Assume that the real sequence (an) and (Un) converge to the same limit L. Construct a new sequence (Zn), where 21 = 1, 22

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3. Assume that the real sequence (an) and (Un) converge to the same limit L. Construct a new sequence (Zn), where 21 = 1, 22 = y1, 23 = 202, 24 = y2, etc. Prove that zn - L as n - 0

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