LIMITS AND CONTINUITY 1. The concept of limit x2 − 4 . Examine the behavior of f (x) as x approaches 2. Example 1.1. Let f (x) = x−2 Solution. Let us compute some values of f (x) for x close to 2‚ as in the tables below. We see from the first table that f (x) is getting closer and closer to 4 as x approaches 2 from the left side. We express this by saying that “the limit of f (x) as x approaches 2 from left is 4”‚ and write x→2− lim f (x) = 4. Similarly‚ by looking at the second table
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Multiple Choice: (C) - Mesopotamia comes from the Greek word “mesos” - meaning middle‚ and the Greek work “potamos” - meaning river. As such‚ Mesopotamia means “between rivers”‚ which is apt‚ considering it was build between the Tigris and Euphrates rivers. Mesopotamia had an arid climate that could facilitate the irrigation of crops. (B) - The first man to be considered an emperor was Sargon of Akkad‚ also known as Sargon the Great. His reign in Mesopotamia lasted from 2334 to 2779 BCE. He ruled
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Sub-saharan Africa has undergone changes with religion such as the changing of religious affiliation to Christianity and the practices of cosmology and ontology‚ however‚ Sub-saharan Africa has also remained constant with their thoughts being focused on various beliefs like a creator and evil. Christianity was predominantly the main religion in Sub-saharan Africa opposed to the Muslims of North Africa. Christianity in the Americas slowly began to send out missionaries to spread the Gospel and build
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efforts‚ to restore the unity‚ the security‚ the stability of the empire. They are famous figures in politics‚ religion‚ and art. The Roman Empire from 100 C.E. – 600 C.E. had many cultural and political changes as well as cultural and political continuities. There were many political changes from the Roman Empire to the Byzantine Empire. The Roman Empire had a Republic government where the power resided in an assembly of male citizens where the senate made policy and governed. The senate brought
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A. One significant physical geographic factor that contributed to the development of Mesopotamia was the location of‚ and access to‚ the Euphrates and Tigris Rivers‚ as well as their tributaries. Located in a region known as the “Fertile Crescent”‚ Mesopotamia was able to utilize these rivers for transportation and irrigation of crops. As a result of flooding by the Euphrates‚ large silt deposits provided rich soil and promoted the cultivation of emmer‚ barley‚ beans‚ olives‚ grapes and flax. In
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Over time‚ a culture’s art will change or improve in some way. Some characteristics may remain the same while other characteristics change drastically. Art in the Archaic era and the Classical era had no emotion and unrealistic features‚ but the Classical era brought a sense of anatomy and movement to its art. In the Archaic era and Classical era‚ emotion was not present in art. Characters had plain expressions on their faces; their eyes told nothing‚ regardless of what they were doing. The
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Tamara Sevilla AP World History Essay Continuity and change: The Post Classical Period spread of Islam The Sassanid Empire served as the revival of the Persian Empire from 244-651 C.E.‚ Persian traditions had endured during this time period and kinships as well as Zoroastrian religion were part of their everyday life. Bedouin or nomadic societies inhabited the Arabian Peninsula as well‚ with a culture based on goat and camel herding. However‚ life styles and interactions changed with the introduction
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Political Changes and Continuities in China Through 600 CE Up until the 7th century CE‚ Chinese politics mainly remained the same after the Han dynasty. The major differences had to do with the way that the people were governed and how much influence religion had over the government. Before the Han‚ there was the Zhou and Qin dynasties‚ the Zhou was the first to implement the basis of any widespread government‚ and it is also the first example of continuity during the classical period in China
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From 100 CE to 600 CE‚ the Roman Empire experienced many changes‚ both politically through power of leaders‚ and culturally religion. Rome also had some continuity‚ like the fact that it remained an empire through all of the 500 years mentioned. Although it stayed somewhat the same‚ its changes far outnumbered its continuities. Cultural changes in Rome were mostly due to the rise of Christianity during this period. Toward the beginning of the era (circa 100 CE)‚ many pagan religions were very prevalent
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