Final answer:
Franklin Delano Roosevelt (FDR) is the President celebrated for his perseverance and is known for his leadership during the Great Depression and World War II, despite personal health struggles.
Step-by-step explanation:
The President known as a man of perseverance who never gave up after many failures is Franklin Delano Roosevelt (FDR).
Despite being afflicted by polio in 1921, which left him partially paralyzed, FDR used steel braces and sheer willpower to maintain his political career, eventually becoming the governor of New York and then became the President of the United States. His tenure as president is renowned for his leadership through the Great Depression and World War II, exemplifying his undying commitment and resilience in the face of personal and national challenges.