Write the Fourier series of the following function on the given intervals. i. f (x) =...

 

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Write the Fourier series of the following function on the given intervals. i. f (x) = 1 - |x|, -2 < x < 2 {-4, for -ns x<0 4, for 0 sxsn ii. f(x) = iii. f (x) = sin(2x), - n < x s n iv. f (x) = x2 - x + 3, - 2 < x < 2 %3D S(«) = {i+x*, S-x, 1+x?, for 0 <x< 5 for – 5 <xs0 v. vi. f(x) = { for –n<x<0 for 0 sxSn vii. f (x) = cos () - sin(x), - nsx Sn viii. f (x) = cos(x), -3 < x < 3 - x, for - 1<x<0 f(x) = {" ix. 0, for 0<xs1 Write the Fourier series of the following function on the given intervals. i. f (x) = 1 - |x|, -2 < x < 2 {-4, for -ns x<0 4, for 0 sxsn ii. f(x) = iii. f (x) = sin(2x), - n < x s n iv. f (x) = x2 - x + 3, - 2 < x < 2 %3D S(«) = {i+x*, S-x, 1+x?, for 0 <x< 5 for – 5 <xs0 v. vi. f(x) = { for –n<x<0 for 0 sxSn vii. f (x) = cos () - sin(x), - nsx Sn viii. f (x) = cos(x), -3 < x < 3 - x, for - 1<x<0 f(x) = {" ix. 0, for 0<xs1