Let {xn} be a sequence of real numbers. Suppose that for each > 0 there is

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Let {xn} be a sequence of real numbers. Suppose that for each ε > 0 there is an N ˆŠ N such that m > n > N implies |ˆ‘mk=n xk|
Let {xn} be a sequence of real numbers. Suppose that

exists and is finite.

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