What did victory in the Battle of Tannenberg prove to the Germans?

The victory in the Battle of Tannenberg proved to the Germans that their military strategy and tactics were highly effective. It boosted German morale and confidence in their ability to successfully defend against a larger enemy force. It also demonstrated that they were capable of executing rapid and decisive maneuvers, as well as utilizing superior intelligence and planning. The victory also proved that the Germans were capable of defeating the Russian army, which was previously considered a formidable force. Overall, it served to strengthen the Germans' belief in their military superiority.