Novato sem Servlet

Criei a seguinte classe

[code]import javax.servlet.ServletException;
import javax.servlet.http.HttpServlet;
import javax.servlet.http.HttpServeletRequest;
import javax.servlet.http.HttpServeletResponse;
import java.io.IOException;
import java.io.PrintWriter;

public class WelcomeServlet extends HttpServlet
{//inicio da classe
//processa a solicitação get dos clientes
protected void doGet(HttpServletRequest request,
HttpServletResponse response)
throws ServletException, IOException
{
response.setContentType("text/html");
PrintWriter out = response.getWriter();

	//envia a página XHTML para o cliente
	
	//inicia o documento XHTML
	out.println("<?xml version=\"1.0\"?>");
	
	out.printf("%s%s%s", "<!DOCTYPE html PUBLIC",
			"\"-//W3C//DTD XHTML 1.0 Strict//EN\"",
			"\"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.tdt\">\n");
	
	out.println("<html  xmls=\"http://www.w3.org/1999/xhtml\">");
	
	//cabelhaço do documento
	out.println("<head>");
	out.println("<title>Teste simples de ServLet Em Java</title>");
	out.println("</head>");
	
	//corpo do documento
	out.println("<body>");
	out.println("<strong>Meu primeiro <font color=red>Serverlet em JAVA</font></strong>");
	out.println("</body");
	
	//fim do documento xhtml
	out.println("</html>");
	out.close();
	
	}

}//fim da classe
[/code]

ao tentar compilar a classe retornou o seguinte erro como se as classes importadas não fossem encontradas.
erro:

WelcomeServlet.java:2: package javax.servlet does not exist import javax.servlet.ServletException; ^ WelcomeServlet.java:3: package javax.servlet.http does not exist import javax.servlet.http.HttpServlet; ^ WelcomeServlet.java:4: package javax.servlet.http does not exist import javax.servlet.http.HttpServeletRequest; ^ WelcomeServlet.java:5: package javax.servlet.http does not exist import javax.servlet.http.HttpServeletResponse; ^ WelcomeServlet.java:9: cannot find symbol symbol: class HttpServlet public class WelcomeServlet extends HttpServlet ^ WelcomeServlet.java:12: cannot find symbol symbol : class HttpServletRequest location: class WelcomeServlet protected void doGet(HttpServletRequest request, ^ WelcomeServlet.java:13: cannot find symbol symbol : class HttpServletResponse location: class WelcomeServlet HttpServletResponse response) ^ WelcomeServlet.java:14: cannot find symbol symbol : class ServletException location: class WelcomeServlet throws ServletException, IOException ^ 8 errors

minhas variáveis de ambiente
CATALINA_HOME = C:\Tomcat_5.5
JAVA_HOME = C:\Arquivos de programas\Java\jdk1.5.0_07
PATH = C:\Arquivos de programas\Java\jdk1.5.0_07\bin

resolvi faltava o classpath

javac -classpath C:\Tomcat_5.5\common\lib\servlet-api.jar WelcomeServlet.java