= (-1)"(4 – ) for every (3) Let (xn) be the sequence in R defined as xn n e N. Does (xn) converge? Give reasons for your answer. (4) Let A be an open subset of RP, and let (xn) be a sequence in RP which converges to a point x E A. Show that there exists an N EN such that xn E A for all n > N.

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