Solving A Factorial Equation #maths #algebra #exponential

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[nihaldeshpande]

Why is n=0 not the correct answer here? Solving the factors (n+1)(n+2) = 2 gives n=0 or n=-3. Since factorial and gamma functions cannot accept negative numbers, answer should be n=0.

[mr.d]

*But even if we ignore the fact that n is supposed to be a natural number; the gamma function, an extension of the factorial to the real (and even the complex) numbers [x! = Γ(x+1)] isn't defined for negative intigers (you get vertical asymptotes) and thus the factorial also isn't defined for the negative intigers.*