prove that Gamma(n+1)=nGamma(n)

Introduction : In this solution, we write formula of Gamma function and prove that prove that Gamma(n+1)=nGamma(n) in the following Question : Prove that\[\mathrm{\Gamma}\left(n+1\right)=n\mathrm{\Gamma}\left(n\right)\] Solution :To prove\[\mathrm{\Gamma}\left(n+1\right)=n\mathrm{\Gamma}\left(n\right)\] We general formula of Gamma function \[\mathrm{\Gamma}\left(n\right)=\int_{0}^{\infty}{e^{-x}x^{n-1}dx}\]replacing n by n+1 here we get…

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