Why was the battle of saratoga a turning point in the war?

The Battle of Saratoga (September-October, 1777) was actually a series of battles that culminated with the surrender of the British force led by General John Burgoyne. Saratoga did indeed prove to be the turning point of the American Revolution. In addition to being the most significant American victory up to that point of the war, eliminating a strong British force in the northern theatre, Saratoga had a greater effect: Both France and Spain sided with the Americans as allies, and the French contribution proved to be an essential element of the colonies' eventual victory over Great Britain.

After first defeating General Horatio Gates' American army at the Battle of Freeman's Farm on September 19, 1777, Burgoyne was defeated at the Battle of Bemis Heights on October 7. Burgoyne was forced to retreat and his army was surrounded by superior American forces at Saratoga on October 17. Following the British surrender, France's King Louis XVI formally joined into an alliance with the Americans, forcing the British to divert troops and resources to other theatres of the war--particularly Europe and the West Indies.

The battle would ruin Burgoyne's military career and make a legitimate hero of one American general--the fearless Daniel Morgan--and temporary heroes of two generals who would later be disgraced: Gates, who would be given command of the Southern army, only to lead it to disastrous defeat at the Battle of Camden; and Benedict Arnold, who would soon become America's most famous turncoat when he later went over to the British side.

we need an attachment to see what you are talking about.