Show-why-x-1-2pi-e-x-x-x-1-2-

Tinku Tara June 3, 2023 None 0 Comments

Question Number 10468 by FilupSmith last updated on 11/Feb/17

Show why: Γ(x+1)≈(√(2π))e^(−x) x^(x+(1/2))

$$\mathrm{Show}\:\mathrm{why}: \\ $$$$\Gamma\left({x}+\mathrm{1}\right)\approx\sqrt{\mathrm{2}\pi}{e}^{−{x}} {x}^{{x}+\frac{\mathrm{1}}{\mathrm{2}}} \\ $$

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