JSF não conecta ao mysql

exception

javax.servlet.ServletException
	javax.faces.webapp.FacesServlet.service(FacesServlet.java:325)
root cause

java.lang.NullPointerException
	model.userDao.adiciona(userDao.java:25)
	control.UserManagedBean.adiciona(UserManagedBean.java:30)
	sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
	sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
	sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
	java.lang.reflect.Method.invoke(Unknown Source)
	javax.el.BeanELResolver.invoke(BeanELResolver.java:484)
	javax.el.CompositeELResolver.invoke(CompositeELResolver.java:161)
	org.apache.el.parser.AstValue.getValue(AstValue.java:173)
	org.apache.el.ValueExpressionImpl.getValue(ValueExpressionImpl.java:185)
	com.sun.faces.facelets.el.ELText$ELTextVariable.writeText(ELText.java:224)
	com.sun.faces.facelets.el.ELText$ELTextComposite.writeText(ELText.java:148)
	com.sun.faces.facelets.compiler.TextInstruction.write(TextInstruction.java:85)
	com.sun.faces.facelets.compiler.UIInstructions.encodeBegin(UIInstructions.java:82)
	com.sun.faces.facelets.compiler.UILeaf.encodeAll(UILeaf.java:183)
	javax.faces.component.UIComponent.encodeAll(UIComponent.java:1655)
	com.sun.faces.application.view.FaceletViewHandlingStrategy.renderView(FaceletViewHandlingStrategy.java:399)
	com.sun.faces.application.view.MultiViewHandler.renderView(MultiViewHandler.java:131)
	com.sun.faces.lifecycle.RenderResponsePhase.execute(RenderResponsePhase.java:121)
	com.sun.faces.lifecycle.Phase.doPhase(Phase.java:101)
	com.sun.faces.lifecycle.LifecycleImpl.render(LifecycleImpl.java:139)
	javax.faces.webapp.FacesServlet.service(FacesServlet.java:313)

public Connection getConnection()  {
		

		try {

			/*String driverName = "com.mysql.jdbc.Driver";
			Class.forName(driverName);*/

			String serverName = "localhost";
			String mydatabase = "java";
			String url = "jdbc:mysql://" + serverName + "/" + mydatabase;
			String username = "root";
			String password = "";
			 Connection connection = DriverManager.getConnection(url, username, password);
			System.out.println("sucesso");
			return connection;
		/*} catch (ClassNotFoundException e) {
			System.out.println("O driver expecificado nao foi encontrado.");
			return null;*/
		} catch (SQLException e) {

			System.out.println("Nao foi possivel conectar ao Banco de Dados.");
			return null;
		}
	}

}

private int id;
	private String nome;
	private int cpf;
	private String email;
	private int telefone;

	public int getId() {
		return id;
	}

	public void setId(int id) {
		this.id = id;
	}

	public String getNome() {
		return nome;
	}

	public void setNome(String nome) {
		this.nome = nome;
	}

	public int getCpf() {
		return cpf;
	}

	public void setCpf(int cpf) {
		this.cpf = cpf;
	}

	public String getEmail() {
		return email;
	}

	public void setEmail(String email) {
		this.email = email;
	}

	public int getTelefone() {
		return telefone;
	}

	public void setTelefone(int telefone) {
		this.telefone = telefone;
	}

}

public class userDao {

	private Connection connection;

	public userDao() {
		try {
			this.connection = new ConnectionFactory().getConnection();
		} catch (Exception e) {
			
			e.printStackTrace();
		}
	}

	public void adiciona(User user) {

		String sql = "INSERT INTO usuario(id,nome,cpf,email,telefone) VALUES(?,?,?,?,?)";

		try {
			PreparedStatement stmt = connection.prepareStatement(sql);
			stmt.setInt(1, user.getId());
			stmt.setString(2, user.getNome());
			stmt.setLong(3, user.getCpf());
			stmt.setString(4, user.getEmail());
			stmt.setInt(5, user.getTelefone());

			stmt.execute();
			stmt.close();

		} catch (SQLException u) {
			throw new RuntimeException(u);
		}
	}

}

@ManagedBean
public class UserManagedBean {

	private User user = new User();
	private userDao dao = new userDao();

	public User getUser() {
		return user;
	}

	public void setUser(User user) {
		this.user = user;
	}

	public String cadastra() {
		dao.adiciona(user);
		return "cadastrado";

	}
	
	

}