diff --git a/m4/memrchr.m4 b/m4/memrchr.m4
index c489ec3d3..dfb0583ac 100644
--- a/m4/memrchr.m4
+++ b/m4/memrchr.m4
@@ -1,5 +1,5 @@
-# memrchr.m4 serial 1
-dnl Copyright (C) 2002 Free Software Foundation, Inc.
+# memrchr.m4 serial 2
+dnl Copyright (C) 2002, 2003 Free Software Foundation, Inc.
 dnl This file is free software, distributed under the terms of the GNU
 dnl General Public License.  As a special exception to the GNU General
 dnl Public License, this file may be distributed as part of a program
@@ -18,6 +18,4 @@ AC_DEFUN([gl_FUNC_MEMRCHR],
 ])
 
 # Prerequisites of lib/memrchr.c.
-AC_DEFUN([gl_PREREQ_MEMRCHR], [
-  AC_CHECK_HEADERS_ONCE(limits.h)
-])
+AC_DEFUN([gl_PREREQ_MEMRCHR], [:])