Timeline for Examples of common false beliefs in mathematics
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 28, 2022 at 8:38 | comment | added | Behnam Esmayli | Bc continuous and positive means positive in a whole interval. Then MVT kicks in. I was asked this by some friends who were my seniors and taking analysis 3 while I was in analysis 1. I did find the counter-example on my own. One little math discovery I was proud of :) | |
| Aug 10, 2015 at 15:16 | comment | added | Tadashi | @SébastienPalcoux Yes, I think if $f'$ is continuous in $x_0$ then the statement is true. | |
| Aug 10, 2015 at 8:05 | comment | added | Sebastien Palcoux | A counter-example is necessarily with $f'$ discontinuous in $x_0$, right? For example $f(x)=x^2 sin (1/x)+x/2$ and $x_0 = 0$. | |
| Aug 10, 2015 at 6:07 | comment | added | Asaf Karagila♦ | I sort of find it hard to believe that amongst the nearly 200 answers on this thread (and just over 20 deleted ones), no one has posted this. | |
| S Aug 10, 2015 at 4:07 | history | answered | Tadashi | CC BY-SA 3.0 | |
| S Aug 10, 2015 at 4:07 | history | made wiki | Post Made Community Wiki by Tadashi |