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how 2 appears smoother than 1, and 3 is smoother than 2. How can this be rigorously explained? Hint: Graph the frequency response magnitudes associated

how 2 appears "smoother" than 1, and 3 is smoother than 2. How can this be rigorously explained? Hint: Graph the frequency response magnitudes associated with 1, 2 and 3 on the interval 0.01 Hz to 100 Hz and note how the magnitudes decrease at the frequencies represented in the Fourier series

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