Final answer:
U.S. Marines fought in the battle of Hue during the Tet Offensive in January 1968, which significantly influenced American perception of the Vietnam War.
Step-by-step explanation:
In January of 1968, U.S. Marines engaged in a battle for many weeks near a military base at Hue. This was part of the Tet Offensive, a coordinated series of fierce attacks by the North Vietnamese and the Viet Cong that targeted numerous cities, including Hue, which saw some of the most intense fighting. The Tet Offensive profoundly impacted American public opinion and led to widespread doubt about the winnability of the Vietnam War, culminating in significant disillusionment and protest back in the United States.