Final answer:
The Battle of Saratoga was the American victory that spurred foreign recognition and support from France, marking a turning point in the Revolutionary War.
Step-by-step explanation:
The crucial American victory in the autumn of 1777 that renewed patriots' hopes for independence, secured essential foreign recognition and support, and forever changed the face of the world occurred at the Battle of Saratoga. This victory convinced France to recognize American independence and form a military alliance with the new nation, resulting in substantial military support that was pivotal in the ultimate defeat of Great Britain.
The victories at Saratoga were significant for several reasons. They raised American morale, secured financial and military support from France, and caused the British to divert their attention to other areas, thus weakening their efforts against the now-independent American states. The defeat of Burgoyne at Saratoga is marked as a turning point in the Revolutionary War.