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Let (xn)neN be a sequence in an ordered field. Prove that: a) Liminf x_n=-Limsup(-x_n) b) and that the largest accumulation point of (xn)neN is

Let (xn)neN be a sequence in an ordered field. Prove that: a) Liminf x_n=-Limsup(-x_n) b) and that the

Let (xn)neN be a sequence in an ordered field. Prove that: a) Liminf x_n=-Limsup(-x_n) b) and that the largest accumulation point of (xn)neN is equal to the negative of the smallest accumulation point of (-xn)neN.

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