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MathTo apply Root test on a series `sum a_n` , we determine the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is...

MathTo apply Root test on a series `sum a_n` , we determine the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is...

MathIn using Root test on a series `sum a_n` , we determine the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is...

MathTo apply the Root test on a series `sum a_n` , we determine the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series...

MathRecall the Root test determines the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1 ` then the series is absolutely...

MathTo apply the Root test , we determine the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is absolutely...

MathRecall the Root test determines the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is absolutely convergent....

MathWhen using Root test on a series `sum a_n` , we determine a limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series is...

MathTo determine the convergence or divergence of a series `sum a_n` using Root test, we evaluate a limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the...

MathTo apply the Root test on a series `sum a_n` , we determine the limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series...

MathTo apply the Root test on a series `sum a_n` , we determine a limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the conditions: a) `Llt1` then the series...

MathTo determine the convergence or divergence of a series `sum a_n` using Root test, we evaluate a limit as: `lim_(ngtoo) root(n)(a_n)= L` or `lim_(ngtoo) a_n^(1/n)= L` Then, we follow the...

MathTo determine the convergence or divergence of a series `sum a_n` using Root test, we evaluate a limit as: `lim_(ngtoo) root(n)(a_n)= L ` or `lim_(ngtoo) a_n^(1/n)= L ` Then, we follow the...

MathTo determine the convergence or divergence of the series `sum_(n=1)^oo (1)^n/2^n` , we may apply the Ratio Test. In Ratio test, we determine the limit as: `lim_(ngtoo)a_(n+1)/a_n = L` Then ,we...

MathWe may apply the Ratio Test to determine the convergence or divergence of the series `sum_(n=0)^oo (1)^n/(n!)` . In Ratio test, we determine the limit as: `lim_(ngtoo)a_(n+1)/a_n = L` Then,...

MathRecall the Ratio test determines the limit as: `lim_(ngtoo)a_(n+1)/a_n = L` Then ,we follow the conditions: a) `L lt1` then the series is absolutely convergent b) `Lgt1` then the series is...

MathTo determine the convergence or divergence of the series `sum_(n=1)^oo (1)^n/3^n` , we may apply the Ratio Test. In Ratio test, we determine the limit as: `lim_(ngtoo)a_(n+1)/a_n = L` Then, we...

July's PeopleIn July's People, how does Maureen become one with herself and with nature? Where could I find an...After fleeing their comfortable home in Johannesburg, Maureen Smales and her family are taken in by the family of their servant, July. July and his family live in a rural village that lacks the...

HistorySome historians might argue that the United States should have been a more progressive country in the early twentieth century, as domestically, many Presidents were moving towards a more...

HistoryYou ask a lot of questions here, so I'll answer them all briefly, then explain, to help you understand in more detail. I feel sickened and defensive when I read Zinn's presentation of the United...

ReligionD. A. Carson's How Long, O Lord? is a text which examines Biblical passages as they pertain to the suffering of mankind; it is written through the lens of Evangelical Christianity. Chapter five,...

Gail GodwinAn 'abstract' in literature may refer to a summary of the essential elements in a literary work or it could relate to the expression of an idea which is not perceivable by the five sentences (i.e....

IliadBoth characters are divine entities and thus part of their respective societies' religious belief systems. The character of Satan appears in the Biblical story of Genesis as an evil divine being,...

The IliadThere are four major results of Achilles' pride to be found throughout The Iliad, including alienation, wrath, vengeance, and death. Alienation The Greek warrior Agamemnon insults Achilles' pride...

MacbethThis is a great question, and I would argue that Banquo serves as a foil to Macbeth and helps us more clearly see the mistakes that Macbeth makes. After all, Banquo not only is present for the...

ReferenceThe first thing to understand is that Weber (and other sociologists) does not necessarily believe rational societies are better; normally, we think of being "rational" as a good thing, but in...

MathThere are various types of probability. Experimental (empirical) probability involves performing a number of trials and recording the outcomes. Subjective probability involves pattern recognition...

BusinessWhat is an example of a misleading or bogus site or advertisement that involves phony journalism,...The website at the following link: http://www.rythospital.com is a counterfeit website. It purports to be a website for RYT Hospital, Dwayne Medical Center, and it runs an ad for Rivitalex, which...

MathHello! To solve this problem we need the formula for `a_n,` the `n`th term of an arithmetic progression, and the formula for `S_n,` the sum of its `n` terms. These formulas are: `a_n = a_1 +...

Law and PoliticsThere is no universally accepted list of "three distinctions that underlie social science" among social scientists. The only place I've seen that specific phrase used is in the context of course...

ReferenceUnfortunately, there is no single answer. I'll review the reason why, and some general principles, to help you start your speech. The reason why there is no single answer is that there is no single...

The TempestIn Aristotle’s On the Art of Poetry, he referred to the “three unities” in drama: unity of place, unity of action, and unity of time. He said the plot should occur in a single place, the...

The Sun Also RisesTo answer your question, let's define milieu as both a social setting and the place, or in the case of The Sun Also Rises, places where the story develops. The main characters in the novel are...

The Drunken Boat"The Drunken Boat," by Arthur Rimbaud, is known for its heavy use of symbolism. In fact, the work continues to be mysterious after more than a century of academic study. Many readers have suggested...

RegenerationSarah Lumb, Prior's girlfriend, represents the "New Woman" who developed in World War I and in the 1920s. She works in a munitions plant and enjoys greater freedom than women had in the past. She...

MacbethMacbeth is one of the most famous plays by one of the world’s most legendary authors, William Shakespeare. William Shakespeare, who wrote in the late 16th century and early 17th century,...

Social SciencesYes, in some ways, an anger management program constitutes a subculture. A subculture has different norms and values than the culture as a whole, and our culture can seem to celebrate anger and...

Muriel SparkYour first step in writing an essay at this level is reviewing the existing scholarship on the subject. This enables you to situate your own paper within the ongoing scholarly conversation and talk...

George Washington CableThere are several things you will need to do the develop these draft paragraphs into an essay. First, you need a clear thesis statement. If you want to focus on the lack of name for the Little...

ScienceA particle of mass m elastically collides head on with a stationary particle of mass M. What does...Use conservation of linear momentum. `P_i=P_f` `mv_(m,i)=m v_(m,f)+M v_(M,f)` (1) `m(v_(m,i)v_(m,f))=M v_(M,f)` Use conservation of kinetic energy since this collision is fully elastic....

Law and PoliticsUnder the US Constitution, the highest court is the Supreme Court. The role of the Supreme Court is to hear the following: lawsuits between two or more states, cases concerning "ambassadors and...

HistoryBefore World War I broke out in 1914, Italy had been allied with Germany and AustriaHungary, so, at first, it seemed likely that Italy would join the Triple Alliance. Mussolini, then the editor of...

Measure for MeasureDo you agree with critics who say Measure for Measure fails to unite its two very distinct parts,...The first part of this play lays the foundations for tragedy in a very naturalistic, psychologically realistic way. The second part introduces several contrived mechanisms for resolving the...

Social SciencesSubcultures are groups whose norms and values are different from those of the wider culture. Examples include gamers or members of Alcoholics Anonymous (AA). For example, members of Alcoholics...

The Cask of Amontillado"The Cask of Amontillado" is told in chronological order to create suspense. "Sonny's Blues" uses..."The Cask of Amontillado" builds towards a suspenseful conclusion by presenting, in a chronological way, the method that the narrator uses to get revenge on Fortunato. At the beginning of the...

ReferenceWhen writing an outline for an informative speech topic that involves stages or a process such as...That is a good question. On first glance, it would appear you're right. Since most processes are chronological, a chronological order would be the most common organizational structure. It is not...

Good Country PeopleYour thesis statement is your position and lets your readers know what you intend to prove in your essay. The following are some ideas of possible positions you could take on Flannery O'Connor's...

Pride and PrejudiceHere is another good example of an instance in which Austen uses free indirect discourse to be misleading (it comes from Chapter of Book/Volume 1): Mr. Darcy soon drew the attention of the room by...

Plato's RepublicThis is a very interesting question! The answer will depend upon whether you agree with Socrates' definition of justice in the first four books. Then, you will have to decide whether he adequately...

SocratesWe do not have any writings of Socrates himself preserved. Instead, we have reports about Socrates in the works of Plato, Xenophon, Aristophanes, and later writers. There are many different...