单调数列指各项的值总是依次增加(或不减小)或总是依次减小(或不增加)的数列。
应用单调有界定理证明一类数列的收敛过程中,一般高等数学和数学分析教材中,处理的思路方法不易想到或过程较为繁琐。
In many current textbook, the monotone bounded theorem is used to the proof the convergence of a kind of but this method is uneasy to series, understand.
你的输出应该从2992开始到满足需求最大的四位数字结束(数列单调递增)。
Your output is to be 2992 and all larger four-digit Numbers that satisfy the requirements (in strictly increasing order).
定理7.1。 如果一个数列单调并且有界,这个数列才能收敛。
THEOREM 7.1. A monotonic sequence converges if and only if it is bounded.
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