Maclaurin Series

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Latex Code

                                    y(x)=y(a+u)=y(0)+x\frac{\mathrm{d} y}{\mathrm{d} x}+\frac{1}{2!}x^{2}\frac{\mathrm{d}^2 y}{\mathrm{d} x^{2}}+\frac{1}{3!}x^{3}\frac{\mathrm{d}^3 y}{\mathrm{d} x^{3}}+...


Latex code for Maclaurin Series

  • : u=x-a
  • : Factorials of n
  • : Derivative of y over x evaluated at point x=a

When u=x-a, the differential coefficients are evaluated at x=a. A Maclaurin series is a Taylor series with a = 0

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