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.

• 摘要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。