Let {Pn} be a sequence of points determined as in the figure. Thus | AP1 | =

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Let {Pn} be a sequence of points determined as in the figure. Thus | AP1 | = 1, | Pn Pn+1 | = 2n–1, and angle AP n Pn+1 is a right angle. Find lim n→∞ < Pn APn+1
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