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-

Tinku Tara June 4, 2023 Limits 0 Comments

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

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

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

$${correct}\: \\ $$

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