Question:What is ajaxgold framework? 

Ajaxgold framework is a framework which leverages Ajax, a collection of technologies for building dynamic web pages on the client side. While data is read from and sent to the server by JavaScript requests, frameworks may include server-side or client-side components to process the client's requests.

Question:What is the function of libAjax server-side framework? 

LibAjax is a library that allows the use of server side and client side scripting using XMLHTTPRequest (Named AJAX). LibAjax makes using Ajax even easier.
The libAjax function are :
1.$ajax->output()
2.$ajax->client_request()