Factorial limits $\lim _{x\to \infty }\frac{\left(x!\right)^3\left(3\left(x+1\right)\right)!}{\left(\left(x+1\right)!\right)^3\left(3x\right)!}$ $$\lim _{x\to \infty }\frac{\left(x!\right)^3\left(3\left(x+1\right)\right)!}{\left(\left(x+1\right)!\right)^3\left(3x\right)!}$$
i read this Calculating limit involving factorials.
I don't understand how they eliminate !
The answer is 27.

Hint : try to simplify first terms of numerator and denominator and then second terms and then take $x^3$ common and then evaluate the limits.
