Higher mathematics

Taylor series

Approximations of exponential, sine and cosine functions.

Higher mathematics

Taylor approximation of exp

eˣ ≈ 1+x+x²/2+x³/6+x⁴/24→
Higher mathematics

Taylor approximation of sine

sin x ≈ x−x³/6+x⁵/120−x⁷/5040→
Higher mathematics

Taylor approximation of cosine

cos x ≈ 1−x²/2+x⁴/24−x⁶/720→
Higher mathematics

Taylor polynomial for an expression

Tₙ(x) = Σf⁽ᵏ⁾(a)(x−a)ᵏ/k!→