If nnn- - nxn - 1- - then the value of x is-

The correct option is C n^n 2 Given, n ^ n n! = nx (n 1)! ⇒ n ^ n = n ^ 2 x ⇒ x = n^n 2 ...

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Proof by mathematical induction

If nnn! = n...

Question

If $\frac{n^{n}}{n!} = \frac{n x}{(n - 1)!}$ , then the value of $x$ is:

n^{n - 2}

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n^{n - 1}

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n^{n + 1}

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n^{\frac{1}{2}}

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n^{\frac{1}{n}}

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Solution

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