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x[n]=cos((pi/8)*(n^2)). whether it is periodic or not? what is the period of this?
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\[x[n]=\cos\left(\frac\pi8\times n^2\right)\]
http://www.wolframalpha.com/input/?t=crmtb01&f=ob&i=x%5Bn%5D%3Dcos((pi%2F8)*(n%5E2))
WolframAlpha says no
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