lim n → ∞ n ( n ! ) n 1 equals

= ( n n ( n !) ) n 1 lo g P = n 1 ∑ r = 1 n lo g ( n r )

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsExponential and logarithmic limitsMedium2 minQB

MathematicsMediumsingle choice

$lim_{n \to \infty} \frac{( n ! ) ^{\frac{1}{n}}}{n}$ equals

Answer:

Solution:

$= (\frac{( n !)}{n ^{n}})^{\frac{1}{n}}$

$lo g P = \frac{1}{n} \sum_{r = 1}^{n} lo g (\frac{r}{n})$

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:Exponential and logarithmic limits

⏱ 2mℹ️ Source: QB

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