Recall that an integral is actually the limit of a sum as the umber of elements goes to infinity and their size approaches Thus it should not be surprising that the Fourier series ust be replaced by the so-called Fourier integral as X goes infinity. That integral, which is stated here without proof, is ero. f(x) = [C TT A(k) cos kx dk + أبيات B(k) sin kx dk

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 41EQ
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i need clear ans and solve
very very fast in 20 min
and thank you | DYBALA
Recall that an
integral is actually the limit of a sum as the
umber of elements goes to infinity and their size approaches
ero. Thus it should not be surprising that the Fourier series
ust be replaced by the so-called Fourier integral as À goes
infinity. That integral, which is stated here without proof, is
1
prove+x)= [6
A(k) cos kx dk +
roo
مات
B(k) sin kx dk
Transcribed Image Text:i need clear ans and solve very very fast in 20 min and thank you | DYBALA Recall that an integral is actually the limit of a sum as the umber of elements goes to infinity and their size approaches ero. Thus it should not be surprising that the Fourier series ust be replaced by the so-called Fourier integral as À goes infinity. That integral, which is stated here without proof, is 1 prove+x)= [6 A(k) cos kx dk + roo مات B(k) sin kx dk
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