Which of the following should I use in my stylesheets?
/* Example #1: */ background-image: url(image.png);
/* Example #2: */ background-image: url("image.png");
/* Example #3: */ background-image: url('image.png');
What does the W3C specify as the correct way?
The W3C says quotes are optional, all three of your ways are legal.
Opening and closing quote just need to be the same character.
If you have special characters in your URL, you should use quotes or escape the characters (see below).
Syntax and basic data types
Escaping special characters: