Taylor Series
Tags: #math #taylor seriesEquation
$$y(x)=y(a+u)=y(a)+u\frac{\mathrm{d} y}{\mathrm{d} x}+\frac{1}{2!}u^{2}\frac{\mathrm{d}^2 y}{\mathrm{d} x^{2}}+\frac{1}{3!}u^{3}\frac{\mathrm{d}^3 y}{\mathrm{d} x^{3}}+...$$Latex Code
y(x)=y(a+u)=y(a)+u\frac{\mathrm{d} y}{\mathrm{d} x}+\frac{1}{2!}u^{2}\frac{\mathrm{d}^2 y}{\mathrm{d} x^{2}}+\frac{1}{3!}u^{3}\frac{\mathrm{d}^3 y}{\mathrm{d} x^{3}}+...
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Introduction
Latex code for Taylor Series Expansion
: Factorials of n
: Derivative of y over x evaluated at point x=a
If y(x) is well-behaved in the vicinity of x = a then it has a Taylor series as above equation.
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