Prove $u\left( x\right)=W\left( x\right)+W'\left( x\right)+W''\left( x\right)+ \cdots \ge 0.$
1519
Sum of derivatives of a polynomial
50250
Proving $\arg(zw)=\arg(z)+\arg(w)$
98768
Prove $\left(1+\frac{x}{n}\right)^n < e^x$, where $x$ is any positive real number and $n$ is any positive integer.
13249
Multivariable limit proof: $\lim\limits_{(x,y)\rightarrow (0,0)}\frac{\left|x\right|^a\left|y\right|^b}{\left|x\right|^c + \left|y\right|^d} = 0$
61670
Proving that $(b_n) \to b$ implies $\left(\frac{1}{b_n}\right) \to \frac{1}{b}$
105145
Show that $\mathbb{E}\left(\bar{X}_{n}\mid X_{(1)},X_{(n)}\right) = \frac{X_{(1)}+X_{(n)}}{2}$
49408
Proof of the derivative of ln(x)
7384
How do I prove that $m(TE)=\left|\det(T)\right|m(E)$?
24585
Proving that $\mathbf{W}$+$\mathbf{W^{\perp}}$=$\mathbb{R^{n}}$
125209
Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$
25921
Show that $\left(1+\dfrac{1}{n}\right)^n$ is monotonically increasing
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
61162
Show that $\left(\int_0^1 f(x)\,dx\right)^2\leq2\int_0^1x\, f(x)^2\,dx $
3820
Prove that $||x|-|y||\le |x-y|$
145423
prove that if $1 \le m \le n$ then $\left(1+\frac1n\right)^m < 1+\frac mn + \left(\frac mn\right)^2$
83531
Prove $\iint_{x^{2}+y^{2} \leq 1} e^{x^{2}+y^{2}} d x d y \leq\left[\int_{-\frac{\sqrt{\pi}}{2}}^{\frac{\sqrt{\pi}}{2}} e^{x^{2}} d x\right]^{2} $
77510
$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$