用定义求解高等数学中的有关问题

Solving Some Problems of High Mathematics by Definition

应用导数的定义,为分段函数的分界点提供了一种行之有效的求导方法,利用微分的定义判断函数在分界点及其他特殊点的可微性,运用定和分的定义求一类特殊类型的极限.

Using the definition of derivative, provide a method of calculating the derivative at the interphase point of a subsection function, using the definition of differential, estimate the differentiability of the interphase point of a function, using the definition of definite integral, calculate the limit with some particular form.