I had been learning calculus. So what I was thinking about is what us differentiation if $(x)!$. I know. 'n 'th derivative of $x^n$ is $x!$ but it isn''t helping me to solve this problem.
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2the $n^{\rm{th}}$ derivative of $x^n$ is $n!$, which is a natural number, it's not a function in $x$ – Nescio Jan 02 '16 at 14:50
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3Some related posts:The derivative of $x!$ and its continuity and Finding $\frac{\mathrm d}{\mathrm dx} x!$. (Maybe there are other similar posts on this site.) – Martin Sleziak Jan 11 '16 at 13:40
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Derivating $x!$ makes no sense since it is defined only for natural numbers, and therefore, it is not a continuous function, necessary condition to the existence of the derivative.
Who knows
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