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Pocho la pantera

Interested in Real Analysis and Differential Equations... and the pachanga!

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9 supremum of $\int |\int f(x)-f(y)\,dy| \,dx $. Sep 28 '13
7 Is there limit $ \lim_{(x,y) \to (0,0)} \frac{x^3}{x^2 + y^2}$? Sep 13 '13
6 If $(\nabla f(x)-\nabla f(y))\cdot(x-y)\geq m(x-y)\cdot(x-y)$, why is $f$ convex? Sep 4 '13
5 Prove $n^2 > (n+1)$ for all integers $n \geq 2$ Aug 30 '13
5 Proving $\sum_{n \geq 1} \frac{a_n}{1+ a_n}$ diverges provided $\sum a_n$ diverges and $(a_n)$ is decreasing and nonegative Aug 31 '13
5 Prove $\frac {1}{\cos 0^\circ \cdot \cos 1^\circ} + \ldots +\frac {1}{\cos 88^\circ \cdot \cos 89^\circ}= \frac{\cos 1^\circ}{\sin 1^\circ}$ Sep 30 '13
5 A difficulty solving a limit Oct 9 '13
5 $(0 \leq f' \leq f$ on $\mathbb R$ and $f(a)=0)$ $\implies f=0$? Oct 28 '13
4 Prove $\frac{1}{2} + \cos(x) + \cos(2x) + \dots+ \cos(nx) = \frac{\sin(n+\frac{1}{2})x}{2\sin(\frac{1}{2}x)}$ for $x \neq 0, \pm 2\pi, \pm 4\pi,\dots$ Oct 9 '13
4 Convergence of sequences of inverse functions Sep 4 '13
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