(ii) The Fourier Series of x +1, -1 0 converges to f(r) for all a E (-1, 1] EXCEPT at: (A) r = 0 (B) r = -1,0 (C) r = -1,1 (D) r = -1,0,1
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![(ii) The Fourier Series of
f(x) =
0,
x + 1, -1< x<0
0 < x < 1
converges to f(x) for all a E [-1, 1] EXCEPT at:
(A) x = 0
(B) x = -1,0
(C) a = -1, 1
(D) x = -1,0,1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba6e7101-460a-40c5-86f8-245505b3a10d%2F45481df4-6ade-43ec-80df-27c7ef57a459%2Fl45sey_processed.jpeg&w=3840&q=75)
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- ! please solve (c) partcan you answer this question please?+3 - nIf f is the Fourier series of g(x)= √3, [16-², -4 < x < 0 then 0≤ < 4 f(2)=¯ + 2 [(0) cos (1 x) + ( ) sin (7-²)] 2 What does f(-4) equal? f(-4) What does f(-2) equal? f(-2) = What does f(0) equal? What does f(1) equal? What does f(4) equal? (0) f(1) = ƒ(4) = *Determine the Fourier Series of f(x) = x², over the interval - < x < and has period 2 ! f(x) = 3r [c cos x + cos 3x + cos 5x + .] sina+sin 2x + sin 3x +... 2 1 1 f(x) sin x + sin 3x + sin 5x + 1 π 3 5 1 1 -{sin z + sin 2x + sin 3x + x ...} 2 2 3 $ 1 f(2)=-4 [cos 2-2008 22 +00832 - 008 42 + cos cos cos 4x 4] 3 4² = # f(x) 12 = T1) +(x)=3-2x -T1. Find the Fourier series of functions.5) a) Construct a Fourier Series for f(x) = (x² - 0x)for 0 < x < 3t b) Briefly explain the application of half – range Fourier series in your SpecializationLet f(x) = x, where - 2< x< 2 %3D determine the number to which the full fourier series of f converges at x = 2 -2 1. -4Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,