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

Transcribed Image Text:

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. 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.