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Let `lt a_n gt` be a sequence such that `a_1=1 and a_n+1 =cos a_n, n gt 1 `. If `a=lim_(xtooo) a_n`, then a belongs to the interval
A. `(0,pi//6)`
B. `(pi//6,pi//3)`
C. `(pi//3,pi//2)`
D. `(pi//2,4pi//3)`

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