《数学分析》教材中几个问题的商榷

Discussion on Some Problems in the Text of Mathematics Analysis

指出了数学分析教材[1 ]、[2 ] 中利用函数单调性判别法证明函数不等式、关于交错级数余和估计及求极限的三个错误 ,给出了修正意见。

Three errors, frequently in common Mathematics Analysis books,by proving function inequality based on function monotony,reckoning the remainder sum of alternate series and solving the limit are presented in this paper,while the revised opinions are proposed.