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2. Let {awr=o be a sequence of real numbers. Let a2k and au +1 be the even and odd terms of this sequence, respectively.

2. Let {awr=o be a sequence of real numbers. Let a2k and au +1 be the even and odd terms of this sequence, respectively. Suppose and {au converge to the same limit, denoted L. Prove {an} Xo converges to L.

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