What is the difference between JSF, Servlet and JSP?

Servlets :

The Java Servlet API enables Java developers to write server-side code for delivering dynamic Web content. Like other proprietary Web server APIs, the Java Servlet API offered improved performance over CGI; however, it has some key additional advantages. Because servlets were coded in Java, they provides an object-oriented (OO) design approach and, more important, are able to run on any platform. Thus, the same code was portable to any host that supported Java. Servlets greatly contributed to the popularity of Java, as it became a widely used technology for server-side Web application development.

JSP :

JSP is built on top of servlets and provides a simpler, page-based solution to generating large amounts of dynamic HTML content for Web user interfaces. JavaServer Pages enables Web developers and designers to simply edit HTML pages with special tags for the dynamic, Java portions. JavaServer Pages works by having a special servlet known as a JSP container, which is installed on a Web server and handles all JSP page view requests. The JSP container translates a requested JSP into servlet code that is then compiled and immediately executed. Subsequent requests to the same page simply invoke the runtime servlet for the page. If a change is made to the JSP on the server, a request to view it triggers another translation, compilation, and restart of the runtime servlet.

JSF :

JavaServer Faces is a standard Java framework for building user interfaces for Web applications. Most important, it simplifies the development of the user interface, which is often one of the more difficult and tedious parts of Web application development.
Although it is possible to build user interfaces by using foundational Java Web technologies(such as Java servlets and JavaServer Pages) without a comprehensive framework designedfor enterprise Web application development, these core technologies can often lead to avariety of development and maintenance problems. More important, by the time the developers achieve a production-quality solution, the same set of problems solved by JSF will have been solved in a nonstandard manner. JavaServer Faces is designed to simplify the development of user interfaces for Java Web applications in the following ways:
• It provides a component-centric, client-independent development approach to building Web user interfaces, thus improving developer productivity and ease of use.
• It simplifies the access and management of application data from the Web user interface.
• It automatically manages the user interface state between multiple requests and multiple clients in a simple and unobtrusive manner.
• It supplies a development framework that is friendly to a diverse developer audience with different skill sets.
• It describes a standard set of architectural patterns for a web application.

[ Source : Complete reference:JSF ]