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If y(t) is an even function, and y(t − 1) is also even, is y(t) periodic?...

If y(t) is an even function, and y(t − 1) is also even, is y(t) periodic? If so, what is the fundamental period T0? Ignore the case where y(t) is constant, and assume that T = 1 is the smallest shift for which y(t − T ) is even. ​

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