Is there a "simple" way of proving Stirlings formula?
1966
Stirling's formula: proof?
129304
Alternative combinatorial proof for $\sum\limits_{r=0}^n\binom{n}{r}\binom{m+r}{n}=\sum\limits_{r=0}^n\binom{n}{r}\binom{m}{r}2^r$
50804
It seems obvious, but how to prove it formally?
89758
Is there a formula for $(1+i)^n+(1-i)^n$?
94927
Can we calculate $2^k$ using this easy Taylor series?
54622
Stirling Numbers of the First Kind - a direct derivation
17690
Ways to prove Euler's formula for $\zeta(2n)$
123820
Guess the formula for $\sum\frac 1{(4n-3)(4n+1)}$ and prove by induction
21612
How to prove this form of $n$?
94207
Is there an inverse to Stirling's approximation?
67650
Short and intuitive proof that $\left(\frac{n}{k}\right)^k \leq \binom{n}{k}$
64328
How to prove that the Binet formula gives the terms of the Fibonacci Sequence?
142132
How do you prove $\sum \frac {n}{2^n} = 2$?
12949
Inductive Proof of Euler's Formula $v-e+r=2$
112573
Combinatorial proof for Stirling number of 1st kind's generating function
139842
Seeking a combinatorial proof $\sum\limits _{k=0}^n (n-2k)^2\binom{n}{k}=n\times 2^n$
123967
Proof of a generating functions formula