11.1.53 Determine whether the sequence converges or diverges. an ={0,1,0,0,1,0,0,0,1...}

Problem 11.1.53 From James Stewart's Single Variable Calculus - Early Transcendentals 7th edition from chapter 11, Inifinite Sequences and Series - Sequences.
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Determine whether the sequence converges or diverges. If it converges, find the limit. an = {0,1,0,0,1,0,0,0,1...}