浅谈求极限的几种方法

本文归纳了数学分析中求极限的十三种方法:1.利用极限的四则运算性质求极限;2.利用两个重要极限求极限;3.利用两个准则求极限;4.利用等价无穷小的性质求极限;5.利用函数的连续性求极限;6.利用洛必达法则求极限;7.利用定积分求和式的极限;8.利用导数的定义求极限;9.利用中值定理求极限;10.利用单侧极限求极限;11.利用级数收敛的必要条件求极限;12.利用泰勒展开式求极限;13.换元法求极限。对一些经常用的方法我们只提出,针对一些特殊的方法给出了典型的例子。     

极限的若干计算方法

极限是数学分析中的一个基本而重要的概念,极限的计算方法多种多样。介绍了利用泰勒公式求未定式的极限,利用定积分求某些和式的极限,利用递推数列求极限,利用Stoltz公式求极限,利用级数收敛的必要条件求极限,以及利用函数极限求数列极限的几种不同方法,并通过实例给出了一些计算技巧,针对不同的题型采用不同的计算方法,为极限的计算带来了方便。     

高等数学中函数极限计算的几种方法

极限是高等数学课程的基本知识点,求函数极限的方法灵活多变。总结了几种求函数极限的方法,并讨论了求函数极限过程中的常见错误,旨在帮助学生加深对极限理论的认识,更好地解决极限计算问题。     

一类θ函数的极限与累次极限

在本文中,我们讨论了一类θ函数的极限与累次极限,得到了这类θ函数的极限与累次极限。     

浅议二元函数重极限与累次极限的关系

本文讨论了重极限与累次极限的关系及重极限与累次极限存在且相等的条件     

二个新的极限定义——空心极限与实心极限

本文对极限的传统定义作了一些补充,给出了二个新的极限定义——空心极限和实心极限,并在此基础上改进了一些相关的定理。     

函数极限解题分析

高等数学中函数极限的概念非常重要,尤其是对极限的求解方法必须得有效掌握,能够合理运用解决函数极限问题的方法至关重要。本文通过分析函数极限的概念和性质,总结概括了几种求解极限问题的常用方法和技巧,最后还举例说明了两种重要极限在求解函数极限问题中的应用。     

略论微积分中求极限的方法

极限是微积分中的一条基本线索,本文主要列举了五种常用的求极限方法:一是利用单调有界原理求极限;二是利用两边夹定理求极限;三是利用两个重要极限求极限;四是利用洛必达法则求极限;五是利用定积分求极限。     

求未定型极限的方法与技巧

用洛必达法则求未定式的极限很有效,但对某些型的极限它并不方便,甚至用它不能求出。本文讨论了不定式极限的各种类型并给出了求解这类极限的一些方法与技巧,结合具体例子分析未定型极限的求解过程,给出了一些未定型极限的求解方法及原则,深刻地揭示了未定型极限的求解思路,从而使一些原本复杂的问题简单化。     

一个极限问题的推广及其应用

推广了微积分学的一个经典极限问题,得到了数列极限和函数极限的两个较好结论．应用此结论,比较容易地解决一些较难极限问题．     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

Sister Carrie, an Adherent of Desires

Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.     

Improvement of one-cycle controller by use of proportional integral differential controller

1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…     

库克斯顿城堡

城堡, 是欧洲典型的建筑之一, 每个城堡都有一个美丽的传说或是一段历史。从本期开始, 我们将推出“城堡之旅”, 带各位读者去浏览、观赏欧洲各地的城堡, 开始一段文化与历史的旅途!     

The Reader Response Approach to Teaching of English Literature

During interview with English majors, it was found that a majority of students expressed disappointment with their experience of English literature classes. Students' dislike of learning English literature appears to be the major problem of teaching English literature in China. Reader response approach is a good way to solve this problem. In this paper, I explain the rationale behind the reader response approach, such as its origin, definition, features, assumptions, and strategies. Then I illustrate how reader response approach works as a teaching strategy by presenting several teaching models. At last I evaluate its usefuiness for teachers and present the advantages of reader response approach in Chinese context.