The Taylor series is a mathematical representation of a function as an infinite sum of
terms. It allows us to approximate a function using its derivatives at a particular point. The
series is named after the mathematician Brook Taylor, who introduced it in the 18th
century.
The Taylor series expansion of a function f(x) around a point a is given by:
f(x) = f(a)
+ f'(a)(x-a)/1! + f''(a)(x-a)²/2! + f'''(a)(x-a)³/3! + ...