Inspired by Roopesh

Calculus Level 4

limnPn1 Pn+1Pn2 \large \lim_{n\to\infty} \frac {P_{n-1} \ P_{n+1}}{P_n ^2}

Let PnP_n denote the product of all the numbers in the nthn^\text{th} row of the Pascal Triangle. What is the value of the limit above? Give your answer to 3 decimal places.

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