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Question Number 59858 by jimful last updated on 15/May/19

$$\mathrm{P}\left(1\right)=\frac{1}{i}$$$${\mathrm{P}}_{\mathrm{n}+1}{\mathrm{P}}_{\mathrm{n}}=1-{\mathrm{P}}_{\mathrm{n}+1}$$$$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim Im}\left({\mathrm{P}}_{\mathrm{n}}\right)=?$$

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