x0=a,0
人气:363 ℃ 时间:2020-09-11 14:33:50
解答
0 < x0 < π/20 < xn = sin x(n-1) < x(n-1) < π/2∴ 数列单调递减 , 且有下界 0 ,故:lim(n->∞) xn = C 且 0 < C < π/2 -->C = lim(n->∞) x(n+1) = lim(n->∞) sinxn = sinC∴ C=0
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