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What is Fourier and Taylor Series Comparison about?

1) The Fourier series and Taylor series are both convergent infinite series, but are valid under different limiting conditions. 2) By representing the Dirac delta function as a limit of the Dirichlet kernel, the Taylor series can be derived from the Fourier series. 3) This shows that the global properties of the Fourier series can be matched by the local properties of expanding a function using Taylor series coefficients. However, this equality only holds for the specific transformation relation shown.

Author

Karlos Vergara

Language

EN