jquery vs dojo vs extjs

When building web 2.0 applications there is always this confusion about which is the best library to use.

After a lot of research on jquery, dojo and extjs, here is my thoughts:

1. I recommend ExtJs if you don't want to spend time & energy in fixing bugs & extending components. Also ExtJs gives components for mobile. Else jQuery. jQuery is free, open source software, dual-licensed under the MIT License and the GNU General Public License, Version 2.[4] jQuery's syntax is designed to make it easier to navigate a document, select DOM elements, create animations, handle events, and develop Ajax applications. Used by over 31% of the 10,000 most visited websites, jQuery is the most popular JavaScript library in use today.

2. Ext includes interoperability with jQuery and Prototype

3. Dojo can be used in javascript-based Adobe AIR applications. It has been modified to meet AIR's security requirements.

Javascript code is difficult to maintain compared to Adobe Flex. Hence I don't prefer to modify most of the components. I prefer to make the most of any javascript library that is open source and has the right component for my application.