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1.
极限lim/n→∞(1+1/n)=e是微分学的一个重要组成部分。本文着重讨论了它的存在的证明方法、推广形式及实际应用。  相似文献   

2.
极限1im(1+1-n)n+e是微分学的一个重要组成部分。本文着重讨论了它的存在的证明方法、推广形式及实际应用。  相似文献   

3.
数列{(1+1/n)^n}的极限是高等数学的重要极限之一,大部分高数教材采用二项式展开证明单调有界性,本文通过其它四种不等式证明了单调有界,以便大家从不同角度更好地理解(1+1/n)^n的极限。  相似文献   

4.
在<高等数学>教材中只证明了重要极限limn→∞(1 1/n)n=e的存在性,对于其结果为什么是e未做证明.本文将对此极限的结果做一个合理猜测,并给出了一种严格的证明.  相似文献   

5.
lim/x→0(1 x)1/x=e是高等数学中重要的极限公式之一.教材中这类1∞型极限的解题方法比较单一,为此我们拓宽了求解此类型极限的思路,对重要极限公式lim/x→0(1 x)1/x=e进行了推广、论证,推广式的计算方法简便易行,具有较好的实用性.  相似文献   

6.
高等数学中,极限作为微积分的工具,具有重要的作用,在计算极限的各种类型题中,未定式“1∞”这类题型占有一定的数量,而且题型多样,在教学中发现很多同学对“1∞”这类题型掌握很困难,我通过演算大量的习题发现,重要极限()1lim1+x0xex=→可以推广,从而,可以使这类题型的运算得以简化,本文首先给出了重要极限的推广公式,并给予了证明;其次举例说明该推广公式的优越性。  相似文献   

7.
在《高等数学》教材中只证明了重要极限limn→∞(1 1n)n=e的存在性,对于其结果为什么是e未做证明。本文将对此极限的结果做一个合理猜测,并给出了一种严格的证明。  相似文献   

8.
lim from x to 0 (1 x)~(1/x)=e是高等数学中重要的极限公式之一,教材中这类1∞型极限的解题方法比较单一,为此我们拓宽了求解此类型极限的思路,对重要极限公式lim from x to 0 (1 x)~(1/x)=e进行了推广、论证,推广式的计算方法简便易行,具有较好的实用性。  相似文献   

9.
对于正项级数中的∑^∞n=1^bn an给出了一种新的审敛法,推广了文[1]中的判别方法,并且用它解决了极限值为Euler常数的数列极限存在问题,以及求幂级数的收敛半径。  相似文献   

10.
文[1]、[2]、[3]利用一些著名不等式给出了重要极限(?)(1 (1/n))~n=e 存在性的证明,新颖简洁,有一定教学参考价值。在这篇短文中,我们介绍这一重要极限的三种证法,可作学生学习导数和积分应用的练习。(一)利用积分中值定理考察积分  相似文献   

11.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

12.
汉字倒说     
汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。  相似文献   

13.
《海外英语》2007,(4):36
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.  相似文献   

14.
王菲 《华章》2007,(12):273-273
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.  相似文献   

15.
裴水妹 《华章》2007,(11):196
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.  相似文献   

16.
17.
1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…  相似文献   

18.
钱生钱!     
我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了  相似文献   

19.
The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.  相似文献   

20.
Today, Sunday morning, I sit thinking and typing at my computer. My thoughts are in my homeland, India and my body is in China. The body is here and mind there for a good reason. Mr. Hu is president and I am resident and both are in each other's countries (what a difference the absence of one small letter makes!). Mr. Hu will return in a few days and I will stay on longer.  相似文献   

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