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## Main Question or Discussion Point

Why in Taylor series we have some factoriel ##!## factor.

[tex]f(x)=f(0)+xf'(0)+\frac{x^2}{2!}f''(0)+...[/tex]

Why we have that ##\frac{1}{n!}## factor?

[tex]f(x)=f(0)+xf'(0)+\frac{x^2}{2!}f''(0)+...[/tex]

Why we have that ##\frac{1}{n!}## factor?