diff --git a/Lib/test/string_tests.py b/Lib/test/string_tests.py
index c3010d6..2e912c8 100644
--- a/Lib/test/string_tests.py
+++ b/Lib/test/string_tests.py
@@ -53,6 +53,8 @@
 
     test('capitalize', ' hello ', ' hello ')
     test('capitalize', 'hello ', 'Hello ')
+    test('capitalize', 'aaaa', 'Aaaa')
+    test('capitalize', 'AaAa', 'Aaaa')
 
     test('count', 'aaa', 3, 'a')
     test('count', 'aaa', 0, 'b')
diff --git a/Lib/test/test_unicode.py b/Lib/test/test_unicode.py
index 855b0a2..2a24255 100644
--- a/Lib/test/test_unicode.py
+++ b/Lib/test/test_unicode.py
@@ -31,6 +31,8 @@
 
 test('capitalize', u' hello ', u' hello ')
 test('capitalize', u'hello ', u'Hello ')
+test('capitalize', u'aaaa', u'Aaaa')
+test('capitalize', u'AaAa', u'Aaaa')
 
 test('count', u'aaa', 3, u'a')
 test('count', u'aaa', 0, u'b')