Eu já adicionei o jar do javax.faces na pasta lib e também já dei refresh no projeto. E mesmo restartando o tomcat, ele me dá esses dois SEVERE:
SEVERE: StandardWrapper.Throwable
java.lang.IllegalStateException: Could not find backup for factory javax.faces.context.FacesContextFactory.
at javax.faces.FactoryFinder$FactoryManager.getFactory(FactoryFinder.java:1135)
at javax.faces.FactoryFinder.getFactory(FactoryFinder.java:379)
at javax.faces.webapp.FacesServlet.init(FacesServlet.java:350)
at org.apache.catalina.core.StandardWrapper.initServlet(StandardWrapper.java:1227)
at org.apache.catalina.core.StandardWrapper.loadServlet(StandardWrapper.java:1140)
at org.apache.catalina.core.StandardWrapper.load(StandardWrapper.java:1027)
at org.apache.catalina.core.StandardContext.loadOnStartup(StandardContext.java:5038)
at org.apache.catalina.core.StandardContext.startInternal(StandardContext.java:5348)
at org.apache.catalina.util.LifecycleBase.start(LifecycleBase.java:145)
at org.apache.catalina.core.ContainerBase$StartChild.call(ContainerBase.java:1408)
at org.apache.catalina.core.ContainerBase$StartChild.call(ContainerBase.java:1398)
at java.util.concurrent.FutureTask.run(FutureTask.java:266)
at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1142)
at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:617)
at java.lang.Thread.run(Thread.java:745)
SEVERE: Servlet [Faces Servlet] in web application [/jsf-livraria] threw load() exception
java.lang.IllegalStateException: Could not find backup for factory javax.faces.context.FacesContextFactory.
at javax.faces.FactoryFinder$FactoryManager.getFactory(FactoryFinder.java:1135)
at javax.faces.FactoryFinder.getFactory(FactoryFinder.java:379)
at javax.faces.webapp.FacesServlet.init(FacesServlet.java:350)
at org.apache.catalina.core.StandardWrapper.initServlet(StandardWrapper.java:1227)
at org.apache.catalina.core.StandardWrapper.loadServlet(StandardWrapper.java:1140)
at org.apache.catalina.core.StandardWrapper.load(StandardWrapper.java:1027)
at org.apache.catalina.core.StandardContext.loadOnStartup(StandardContext.java:5038)
at org.apache.catalina.core.StandardContext.startInternal(StandardContext.java:5348)
at org.apache.catalina.util.LifecycleBase.start(LifecycleBase.java:145)
at org.apache.catalina.core.ContainerBase$StartChild.call(ContainerBase.java:1408)
at org.apache.catalina.core.ContainerBase$StartChild.call(ContainerBase.java:1398)
at java.util.concurrent.FutureTask.run(FutureTask.java:266)
at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1142)
at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:617)
at java.lang.Thread.run(Thread.java:745)