复合函数极限理论应用中的错误命题

Incorrect Propositions in Application of Limit Theory to Composite Function

指出了复合函数极限理论应用中的三个常见错误命题。

This essay has pointed out the three common mistakes in the application of limit,theory to composite function,and has complementarily proved two deficient theorems in ordinary text books——L′Hospital rule and fundamental theorem of calculus.