New posts in factorial

Limit of series involving ratio of two factorials

real-analysis sequences-and-series limits factorial

Proof Using Wilson's Theorem

number-theory prime-numbers factorial congruences

Why does $\lim_{n\to\infty} \frac{n!}{(n-k)!n^k}$ equal 1 [duplicate]

calculus limits factorial

Is there a way to evaluate the derivative of $x$! without using Gamma function?

derivatives factorial

Prove that $n^{n+1} \leq (n+1)^{n} \sqrt[n]{n!}$

sequences-and-series analysis inequality factorial

Summation of a series help: $\sum \frac{n-1}{n!}$

sequences-and-series factorial

Which is larger, $\sqrt[2015]{2015!}$ or $\sqrt[2016]{2016!}$?

inequality contest-math exponentiation factorial radicals

Calculating $\sum_{k=1}^nk(k!)$ combinatorially [duplicate]

combinatorics summation factorial combinatorial-proofs

what is the remainder when $1!+2!+3!+4!+\cdots+45!$ is divided by 47?

elementary-number-theory modular-arithmetic factorial

Making $121$ with five $0$s

puzzle factorial

Proving that $n!≤((n+1)/2)^n$ by induction [duplicate]

inequality induction factorial

A binomial inequality with factorial fractions: $\left(1+\frac{1}{n}\right)^n<\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+...+\frac{1}{n!}$

inequality summation binomial-coefficients exponential-function factorial

Closed form of series with factorial-squared denominator?

sequences-and-series summation factorial closed-form poisson-distribution

Proving $n! = (-1)^n \sum_{i=1}^n (-1)^i\binom{n}{i} i^n $ [closed]

Number of zero digits in factorials

elementary-number-theory factorial decimal-expansion

Is there a much simpler proof for Euler factorial formula?

induction factorial alternative-proof

Prove $\lim\limits_{n\to\infty}\frac{1}{\sqrt[n]{n!}}=0$

calculus limits factorial radicals

Factorial of a non-integer number

number-theory factorial

How to define fractional factorials, like 3.6!? [duplicate]

1000! is divisible by 10^n. Find largest value of n [duplicate]

elementary-number-theory divisibility factorial decimal-expansion