Real Analysis For each n in the positive integers, let Pn=<xn,yn> be a point in R2. Show that {Pn} from n=1 to infinity converges to P=<x,y> in R2 if and only if {xn} from n=1 to infinity and {yn} from n=1 to infinity converge in R1 to x and y respectively. Please be thorough in your answer, explaining each portion to me.  Thank you.

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