You can use this query:-
SELECT OBJECT_NAME(OBJECT_ID) AS DatabaseName, last_user_update,* FROM sys.dm_db_index_usage_stats WHERE database_id = DB_ID( 'databasename') AND OBJECT_ID=OBJECT_ID('tablename')
For more details refer to this link :-
http://blog.sqlauthority.com/2009/05/09/sql-server-find-last-date-time-updated-for-any-table/
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