Inequality prove $ e^x \ge 1+x $
58410
Simplest or nicest proof that $1+x \le e^x$
139711
prove this inequality with $\sum\limits_\text{cyc}\sqrt{1-xy}\ge 2$
109295
Proving $1-\exp(-4x^2/ \pi) \ge \text{erf}(x)^2$
82591
Prove $(x+r_1) \cdots (x+r_n) \geq (x+(r_1 \cdots r_n)^{1/n})^{n}$.
39270
Showing that $e^x > 1+x$
87567
How to prove $1+x \leq e^x~\forall x \in \mathbb{R}?$
45742
Prove that ${\left(\frac{x+1}{2}\right)}^{x+1} \leq x^x$
108995
Prove $|e^{i\theta} -1| \leq |\theta|$
101792
By expanding $e^x$ into a series prove the following inequality
78144
How to prove the inequality $a_1^{a_1}a_2^{a_2}\cdots a_n^{a_n} > \left(\frac{a_1+\dots+a_n}{n}\right)^{a_1+\dots+a_n}$?
88328
Proof of $1+x\leq e^x$ for all x?
56101
Prove the inequality $\frac{a}{c+a-b}+\frac{b}{a+b-c}+\frac{c}{b+c-a}\ge{3}$
18399
Prove this inequality $\sum \cos{A}\ge\frac{1}{4}(3+\sum\cos{(A-B)})$
108782
Inequality $\frac{1}{n+1}+\frac{1}{n+2}+...+\frac{1}{3n+1} \ge 1$
124968
How prove this inequality $\sum\limits_{cyc}\frac{x+y}{\sqrt{x^2+xy+y^2+yz}}\ge 2+\sqrt{\frac{xy+yz+xz}{x^2+y^2+z^2}}$
35001
Prove inequality using Schwarz's Lemma
40700
Proving inequality $(a+\frac{1}{a})^2 + (b+\frac{1}{b})^2 \geq \frac{25}{2}$ for $a+b=1$