MA Zhen-ming
Abstract
Some ways will be discussed in the thesis with which we can take advantage of the substitution of equivalent infinitesimal to seek an ordinary limit.On the other hand,a general method also be offered with which we can seek the equivalent infinitesimal of function with derivatives of higher orders.
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Some ways will be discussed in the thesis with which we can take advantage of the substitution of equivalent infinitesimal to seek an ordinary limit.On the other hand,a general method also be offered with which we can seek the equivalent infinitesimal of function with derivatives of higher orders.
Key concepts: Infinitesimal, Substitution (logic), Limit (mathematics), Infinitesimal transformation, Function (biology), Mathematics, Pure mathematics, Mathematical analysis