📊 Taylor Series Visualizer

How to use:

Enter any function f(x) and choose a point to expand around. Watch as higher-degree Taylor polynomials approximate your function!

Taylor Series Formula: T(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)²/2! + f'''(a)(x-a)³/3! + ...

Examples: Math.sin(x), Math.exp(x), 1/(1-x), Math.log(1+x)

n = 5
Original Function f(x)
Current Taylor Polynomial Tn(x)
Lower degree approximations (if enabled)
Expansion point