Fourier Series Application and Analysis

An expansion of a non-periodic function into a sum of trigonometric functions (correct)

A sum of polynomials

A series of exponential functions

A series of rational functions

Because they are well understood (correct)

Because they are easy to differentiate

Because they are always convergent

Because they have simple integration rules

No, only for smooth functions

Yes, for all periodic functions

Yes, for all types of functions

No, because most functions have infinitely many terms in their Fourier series (correct)

<p>Integrals of the function multiplied by trigonometric functions</p> Signup and view all the answers

<p>The behavior of the partial sums</p> Signup and view all the answers