why
getRequestDispatcher(String path) of the ServletRequest interface cannot extend outside the current servlet context
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If you use an absolute path such as ("/index.jsp"), there is no difference.
If you use relative path, you must use HttpServletRequest.getRequestDispatcher(). ServletContext.getRequestDispatcher() doesn't allow it.
For example, if you receive your request on http://example.com/myapp/subdir,
RequestDispatcher dispatcher =
request.getRequestDispatcher("index.jsp");
dispatcher.forward( request, response );
Will forward the request to the page http://example.com/myapp/subdir/index.jsp.
In any case, you can't forward request to a resource outside of the context.