Small image beside URL in browser
 

How do I make a small image like the one in this picture http://cory.mensajerofm.org/Dibujo.JPG appear beside the URL in a browser for my website?
http://cory.mensajerofm.org/Dibujo.JPG (arrows pointing at what I mean)

1/ Create your FAV icon. 16x16 is usually okay for most servers.
Remember it must be followed by the extension .ico

2/ Name the icon "favicon.ico" or consult your hosting company for information on what to name your FAV icon, and place it in your root directory on your server (this may be the root directory of the server itself, or your user root directory if the server hosts multiple sites). Your favicon should go in the same folder as the page that users first see when they browse to your site (usually called index.htm(l) or default.htm(l), but this may be different on your server).

3/ Refresh your website in your own browser, the browser should search for the FAV icon and display it.

Ok, I did a test and it worked. SO I deleted my favicon, because I wanted to use a different one, but my browser, and on other PC´s as well, still displayed the favicon. So I deleted the browser cache and still it´s there. I´m 100% sure it´s deleted. http://www.mensajerofm.org/favicon.ico . But it does not exist on the server.
How do I solve this?

solved it.