2024-09-09

Taylor Series Expansion

Every mathematical function can be defined numerically on the basis of the Taylor series expansion.

f (x) = \sum_{n = 0}^{n = \infty} \frac{f^{(' n)} (0)}{n!} \cdot x^{n}

e^{i x} = \frac{1}{1} + \frac{i x}{1} + \frac{- x^{2}}{2} + \frac{i x^{3}}{6} + \frac{x^{4}}{24} + \frac{i x^{5}}{120} + . . .

('n)	n'th derivative of the initial function
i	(-1)^0.5

Do you have any questions?