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Question Number 92729 by  M±th+et+s last updated on 08/May/20

if p_n  is the product of the terms in  the nth row of the pascal′s triangle  find  lim_(n→∞) ((p_(n−1) p_(n+1) )/((p_n )^2 ))

$${if}\:{p}_{{n}} \:{is}\:{the}\:{product}\:{of}\:{the}\:{terms}\:{in} \\ $$$${the}\:{nth}\:{row}\:{of}\:{the}\:{pascal}'{s}\:{triangle} \\ $$$${find} \\ $$$$\underset{{n}\rightarrow\infty} {{lim}}\frac{{p}_{{n}−\mathrm{1}} {p}_{{n}+\mathrm{1}} }{\left({p}_{{n}} \right)^{\mathrm{2}} } \\ $$$$ \\ $$

Answered by frc2crc last updated on 09/May/20

its e=2.718...

$${its}\:{e}=\mathrm{2}.\mathrm{718}... \\ $$

Commented by  M±th+et+s last updated on 09/May/20

correct

$${correct}\: \\ $$

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