$(1+x/n)^{1/n}$ monotone increasing?
47323
Show that $\left(1+\frac xk\right)^k$ is monotonically increasing
54791
Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
152129
$a_1=3$ and $a_{n+1}=\frac{a_n}{2} + \frac{1}{a_n}$. Show that it monotonically decreases and find the limit.
31866
Calculating the limit $\lim((n!)^{1/n})$
41742
inverse limit of $k[x]/(x^n)$
71639
Proof $(1+1/n)^n$ is an increasing sequence
4315
show that if $n\geq1$, $(1+{1\over n})^n<(1+{1\over n+1})^{n+1}$
117262
Proving a logarithm inequality
25583
Show that the sequence $a_0 = 1$, $a_{n+1 }= \sqrt{2+a_n}$ is monotonically increasing
70067
Asymptotics of $\max\limits_{1\leqslant k\leqslant n}X_k/n$
114675
Evaluating $\lim\limits_{x\to 0}(1+x)^{1/x}$?
28315
Monotone functions and non-vanishing of derivative
14489
Showing that a sequence is monotone and thus convergent
46778
Prove that a recursive sequence is monotonically increasing
19898
Limit $\lim (1+(a^{1/n}-1) / b)^n$
149390
Fixed point of a Function (monotonically increasing)
82591
Prove $(x+r_1) \cdots (x+r_n) \geq (x+(r_1 \cdots r_n)^{1/n})^{n}$.