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Mathematics
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Daniil
  • Member for 5 years
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  • Switzerland
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EPFL student.

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6
Uniformly continuous function on bounded open interval is bounded
Feb 15, 2021
6
Show that the sequence defined as $x_{n+1}=\frac{1}{1+x_n}$ converge
Feb 13, 2021
5
$|f(x)-f(y)|\leq \|x-y\|^2$ implies $f$ is constant
Apr 19, 2022
5
Intuition on product definition in category theory
Feb 4, 2022
5
$f:\mathbb{R} \mapsto \mathbb{R}$ convex and increasing. Show there is $a \in \mathbb{R}$ such that $\lim\limits_{x\to -\infty}\frac{f(x)}{x}=a$
Feb 20, 2021
4
Let $f(x)=\frac{1}{n}$ if $x=\frac{1}{n}$ and $f(x)=0$ if not. Show that $f$ is Riemann integrable
Feb 27, 2021
4
Let $g\in G$ such that $o(g)=n<\infty$ (of a finite order). Show that $o(g^r)=\frac{n}{(n,r)}, 0<r<n$
May 3, 2021
4
$g(x) = \frac{f'(x)}{f(x)}$ not bounded
Jan 5, 2021
4
Show that the sequence defined as $x_{n+1}=\sqrt[3]{x_n+x_{n-1}}$ converges
Feb 14, 2021
3
Show that $f$ is Riemann Integrable on $\left[0,\pi/2\right]$
Feb 25, 2021