函數 f(t)=2\cos(3t), 0\le t\le \frac{\pi}{3},若在 t=0 處,f(t) 的傅立葉餘弦級數(Fourier cosine series)收斂到 A,傅立葉正弦級數(Fourier sine series)收斂到 B;在 t=\frac{\pi}{3} 處,f(t) 的傅立葉餘弦級數(Fourier cosine series)收斂到 C,傅立葉正弦級數(Fourier sine series)收斂到 D。則 A,B,C,D 各值為何?
AA=0, B=0, C=0, D=0
BA=2, B=0, C=-2, D=0正確答案
CA=0, B=2, C=-2, D=0
DA=2, B=0, C=2, D=0
答案與詳解
