(a) When a statement of account has been rendered by a bank to a depositor or has been mailed to the depositor's last known address, showing the condition of the depositor's account, the account shall, after the period of six (6) years from the date of the rendition of the statement, in the event no objection to the statement in writing has been theretofore made by the depositor or suit brought to correct same, be deemed finally adjusted and settled and its correctness conclusively presumed, and the depositor shall thereafter be barred from questioning the account for any cause. Banks shall accordingly not be required to preserve or keep their records or files relating thereto for a longer period than six (6) years.
(b) Nothing herein shall be construed to relieve the depositor from the duty now imposed by law of exercising due diligence in the examination of the account and vouchers, if any, accompanying the statement, when rendered by the bank and of immediate notification to the bank upon discovery of any error therein, nor from the legal consequences of neglect of that duty.