Menu Close

lim-n-1-1-2-1-2-1-3-1-n-1-n-1-




Question Number 99846 by bachamohamed last updated on 23/Jun/20
    lim_(n→∞) (1−(1/(2!)))^(((1/(2!))−(1/(3!)))^(.........((1/(n!))−(1/((n+1)!)))) ) =?
$$\:\:\:\:\boldsymbol{{li}}\underset{\boldsymbol{{n}}\rightarrow\infty} {\boldsymbol{{m}}}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}!}\right)^{\left(\frac{\mathrm{1}}{\mathrm{2}!}−\frac{\mathrm{1}}{\mathrm{3}!}\right)^{………\left(\frac{\mathrm{1}}{\boldsymbol{{n}}!}−\frac{\mathrm{1}}{\left(\boldsymbol{{n}}+\mathrm{1}\right)!}\right)} } =? \\ $$
Commented by Dwaipayan Shikari last updated on 23/Jun/20
Ans=1
$${Ans}=\mathrm{1} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *