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15
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Solving $n! = 10^6$ for $n$

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#integration #numerical-methods #factorial #gamma-function
76
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If $\lim_{n \to \infty} \frac{a_{n+1}}{na_n}=a$ , then $\lim_{n \to \infty}[n(\frac{{a_{n+1}}^{\frac{1}{n}}}{n+1}-\frac{{a_{n}}^{\frac{1}{n}}}{n})]=0$

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#sequences-and-series #algebra-precalculus #radicals #factorial #limits-without-lhopital
56
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When the summation is equal to factorial and primorial products?

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#summation #factorial #primorial
629
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Find the leading digit(s) of a factorial

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#algorithms #factorial #computational-mathematics #decimal-expansion #wolfram-alpha
109
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Finding the limit of a function with factorials

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#calculus #factorial
125
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Solutions $(x, y),\;x,y\in \mathbb Z$ to the equation $x! +1 = y^2$

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#factorial #natural-numbers
56
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All permutation of a set including the ones where some elements of the set are missing

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#combinatorics #permutations #binomial-coefficients #factorial
192
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Why is $\int_{0}^{\infty} e^{-x}x^kdx = k!$?

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#calculus #integration #algebra-precalculus #indefinite-integrals #factorial
42
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What function is asymptotically eqyivalent to $\sum_{k \geq 0}k!/N^k$?

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#algorithms #asymptotics #approximation #factorial
50
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Need help in deriving a formula based on stirling approximation Formula of factorial

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#limits #asymptotics #approximation #factorial
302
Views

How do I use the gamma function?

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#factorial #gamma-function
30
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How to solve equations with Stirling Approximation?

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#approximation #factorial #gamma-function
58
Views

Siimplifying $(n+1)\cdot (n+1)! + (n+1)!-1$

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#factorial
84
Views

There is 1 power of $n$ between $(n)!$ and $(n+1)!$ except for $n=5$ ? same for primorial?

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#number-theory #prime-numbers #factorial #primorial
65
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Finding books about generating functions like this one?

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#integration #factorial #products

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