Series - Taylor and Maclaurin Series - Power Series Expansions for Some Functions - Binomial Series - Fourier Series

Rabu, 12 Agustus 2020

Taylor and Maclaurin Series

 

Whole number: n

Differentiable function: f(x)

Remainder term: R_n

 •        Taylor Series

    

•        The Remainder After n + 1 Terms is given by

   

•       Maclaurin Series

   

 

Power Series Expansions for Some Functions

Whole number: n

Real number: x

Binomial Series

Whole number: n, m

Real number: x

Combinations: ⁿC_m

 

Fourier Series

Integrable function: f(x)

Fourier coefficients: a₀, a_n, b_n

Whole number: n 

 

Sumber

Labels: Mathematician

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