Prove that $f(n)=n$, $\forall n \in \mathbb N$ for the strictly increasing multiplicative function
137750
Let $(a_n)$ be a strictly increasing sequence of positive integers such that: $a_2 = 2$, $a_{mn} = a_m a_n$ for $m, n$ relatively prime.
25921
Show that $\left(1+\dfrac{1}{n}\right)^n$ is monotonically increasing
103625
Number of increasing functions from $\{1,2,\dots, n\}$ to itself.
55273
Prove by mathematical induction that: $\forall n \in \mathbb{N}: 3^{n} > n^{3}$
94571
How can we prove that $N_G(H)=H$ implies $N_{f(G)}(f(H))=f(H)$
32525
If $f(1)=1$, then is it true that $f(n)=n$ for all $n \in \mathbb{N}\cup\{0\}$.
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
54659
How prove that $(a_{n})_{n \in \mathbb{N}}$ is convergent with $a_{0}=1$, $a_{n+1}= \sqrt{2a_{n}}$?
94066
Prove that: {$f_n$} converges unifromly to $f$ on $E$ as $n \rightarrow \infty$ if and only if $\lim_{n\rightarrow \infty} ||f_n-f||_u = 0$
48251
Prove that if $n \in \mathbb{N}$, then $\sum_{d|n}{(d(n))^3}=(\sum_{d|n}{d(n)})^2$ where $d(n)$ is the divisor function.
105658
Show that a function that is locally increasing is increasing?
140409
Prove that $\sqrt{n} > \ln n$
144473
Finding all functions $ f : \mathbb N^*\to\mathbb N^*$ such that for every $ x , y \in \mathbb N ^ * $, $ f ( x ) + f ( y ) \mid x ^ n + y ^ n $
112512
How to prove that there are finitely many $n$ such that $f(1+1/n) = \frac{1}{n+1}$?
62111
Functional Equation $f(mn)=f(m)f(n)$.
106401
Prove: $p-mq | f(m)$ where $m$ is any integer
102086
Prove a property of divisor function