Managing database connectivity with ADO.NET

using( DbConnection dbConnection = GetDatabaseConnection() ) {
    doWork();
}

DbConnection GetDatabaseConnection() {
    return GetConnection(MyConnectionString);
}

DbConnection GetConnection(String connectionString)
{
  try {
      SqlConnection dbConnection = new SqlConnection(connectionString);
      dbConnection.Open();
      return dbConnection;
  } catch( InvalidOperationException ex ) {
      handleError(ex);
      throw;
  } catch( DbException ex ) {
      handleError(ex);
  }
}