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2. Let {an}$;0 be a sequence of real numbers. Let em and a2k+1 be the even and odd terms of this sequence, respectively. Suppose {agkio

2. Let {an}$;0 be a sequence of real numbers. Let em and a2k+1 be the even and odd terms of this sequence, respectively. Suppose {agkio and {a2k+1}g=0 converge to the same limit, denoted L. Prove {an}:=0 converges to L

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