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Unformatted text preview: n1) x 2 n1 4. Find the Fourier series of a halfwave rectiﬁer u ( t ) = (π/w < t < sin wt < t < π/w and u ( t + 2 π w ) = u ( t ). Ans . 1 π + 1 2 sin wt2 π ( 1 1 · 3 cos2 wt + 1 3 · 5 cos4 wt + ··· ) MA1505 Tutorial 5 5. Find the Fourier series for the function f ( x ) = (2x2 < x < 2x < x < 2 and f ( x + 4) = f ( x ). Ans . 4 π ∞ X n =1 1 n sin nπx 2 2...
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 Spring '10
 FREUDLEONG
 Math, Fourier Series, National University of Singapore, Department of Mathematics

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