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Questions and Answers
What is a Fourier series?
What is a Fourier series?
- 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
Why are trigonometric functions used in Fourier series?
Why are trigonometric functions used in Fourier series?
- Because they are well understood (correct)
- Because they are easy to differentiate
- Because they are always convergent
- Because they have simple integration rules
Can Fourier series be used to approximate all functions?
Can Fourier series be used to approximate all functions?
- 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)
What determines the coefficients of the Fourier series?
What determines the coefficients of the Fourier series?
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What do Fourier series convergence studies focus on?
What do Fourier series convergence studies focus on?
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