Show that $\log({n\choose n/2})=O(n)$
61846
Evaluation of $\lim_{n\rightarrow \infty}\frac{1}{2n}\cdot \ln \binom{2n}{n}$
2708
Inequality ${n \choose k} \leq \left(\frac{en}{ k}\right)^k$
149889
Prove that $|\log(1 + x^2) - \log(1 + y^2)| \le |x-y|$
24588
Proving the combinatorial identity ${n \choose k} = {n-2\choose k-2} + 2{n-2\choose k-1} + {n-2\choose k}$
21612
How to prove this form of $n$?
137609
Proving $\lim_{n\rightarrow\infty} n(2^{1/n} - 1) = \log 2$
94409
showing that the sequence $a_n=1+\frac{1}{2}+...+\frac{1}{n} - \log(n)$ converges
8617
How do you prove ${n \choose k}$ is maximum when $k$ is $ \lceil \tfrac n2 \rceil$ or $ \lfloor \tfrac n2\rfloor $?
44484
Combinatorial identity $i{n \choose i } =n {n-1 \choose i - 1}$
70282
Help finding a combinatorial proof of $k {n \choose k } = n {n - 1 \choose k -1}$
117681
For which Natural $n\ge2: \phi(n)=n/2$
121694
How to prove $\log n \leq \sqrt n$ over natural numbers?
142534
Proof of $k {n\choose k} = n {n-1 \choose k-1}$ using direct proof
50008
Time Complexity of $T(n)=T(n-2)+\frac{1}{\log(n)}$
115799
Proving $x^{\log n} = n^{\log x}$
133614
Why is $x^{\log_x n}=n$?
150991
What is the order of the sum of log x?