4 Consider the function 2+x if 0 < x < 1 f(x)= -x2 if-1

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter12: Quadratic Functions
Section: Chapter Questions
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could you explain this please
the answer is has sum 1
but i dont know how to calculate it

4 Consider the function
2+x if 0 < x < 1
f(x)=
-x2 if-1 <x<0
extended to R by periodicity, with period 2. At the point x = -1, its Fourier series.
(A) has sum 3
has sum 1
(C) has sum-1
(D) is not convergent
Transcribed Image Text:4 Consider the function 2+x if 0 < x < 1 f(x)= -x2 if-1 <x<0 extended to R by periodicity, with period 2. At the point x = -1, its Fourier series. (A) has sum 3 has sum 1 (C) has sum-1 (D) is not convergent
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