New posts in factorial

$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction

inequality induction factorial

Finding all the numbers that fit $x! + y! = z!$

elementary-number-theory diophantine-equations factorial

The limit of $\sin(n!)$

real-analysis limits analysis trigonometry factorial

Can you propose a theorem from these congruences?

elementary-number-theory modular-arithmetic factorial

Combinatorial proof that $\frac{({10!})!}{{10!}^{9!}}$ is an integer [duplicate]

discrete-mathematics factorial combinatorial-proofs

Modulo of factorial divided by factorial

c++ algorithm modulo factorial number-theory

Euler numbers grow $2\left(\frac{2}{ \pi }\right)^{2 n+1}$-times slower than the factorial?

combinatorics asymptotics factorial

Proving that $(3n)!$ is divisible by $n! \times (n + 1)! \times (n + 2)!$ if $n$ is greater than 2

elementary-number-theory discrete-mathematics factorial

Ramanujan's approximation to factorial

reference-request factorial

The divergent sum of alternating factorials

sequences-and-series complex-analysis factorial divergent-series

Given number of trailing zeros in n!, find out the possible values of n.

factorial

Another evaluating limit question: $\lim\frac{1\cdot3\cdot5\cdot\ldots\cdot(2n-1)}{2\cdot4\cdot6\cdot\ldots\cdot2n}$

calculus real-analysis limits factorial infinite-product

A question on the Stirling approximation, and $\log(n!)$

calculus limits asymptotics factorial

Approximating log of factorial

approximation factorial

What is the remainder when $p!$ is divided by $p+1$?

elementary-number-theory prime-numbers contest-math factorial

Proof of the summation $n!=\sum_{k=0}^n \binom{n}{k}(n-k+1)^n(-1)^k$?

combinatorics summation binomial-coefficients factorial

Prove that $n! > \sqrt{n^n}, n \geq 3$

inequality exponentiation factorial radicals

Prove the determinant is $0$

linear-algebra combinatorics determinant factorial

How to prove that $\lim_{n\rightarrow \infty}\frac {n^{2}}{2^{n}}=0$ & $\lim_{n\rightarrow \infty}\frac {n^{2}}{n!}=0$?

sequences-and-series limits exponentiation factorial

Can a double-factorial be a perfect square?

number-theory factorial