In this article, Infinite limits are limits that evaluate to infinity. You can, however, have limits that are evaluated at infinity or have an evaluated value of infinity. While infinity is a strange concept, we can use it to determine the behavior of functions. This leads us to the discussion of infinite limits and limits at infinity.
In the last two articles, we talked about limits and their application in determining the continuity of a function. Here, we will apply those skills to few practice questions. Attempt the problems on your own at first; however, if you get stuck, the solution to each problem is just below it. These problems vaguely range from easy to hard. Enjoy!
Moderate and extreme are relative terms. What many assume to be the normal conditions for life do not apply equally across all species. Habitability can be thought of in terms of the Goldilocks principle. For example, to survive people need an environment that is not too cold and not too hot. Ranges like this exist for other factors as well, such as pressure. However, what is just right for us and most other creatures can be too much or too little for some. Animals that live on the sea floor provide an illustrative example in this regard. Where people need submersibles to maintain their equilibria, creatures that natural selection has adapted to thrive in the ocean’s depths are right at home. Cold, highly pressurized environments are the norm for them. When deep sea creatures are brought to the surface through accident or scientific curiosity they often either melt, as with glacial ice worms, or fatally decompress, like with blobfish. In this way the term extremophile is a relative one and is used to describe organisms that live in environments that are extreme to us. Beyond their novelty, extremophiles are important objects of study as they challenge and expand our notions of life and its necessities.
The recent COVID-19 pandemic has turned our world upside down. From the way we greet each other to the schedule of our daily routines, it’s safe to say that everything that was considered the norm at the beginning of 2020 has completely changed. While most people’s eyes are on health officials, tech giants and start-up companies have been using this time to create new inventions to propel society further – or so they say. Here we will analyze the new products and tech trends that have arisen in the wake of this pandemic, what they do, and if they actually serve to help society.
In this lesson, we will explain the differences between the upper and lower respiratory system and the differences between upper respiratory tract infections and lower respiratory tract infections.
Innate vs Adaptive Immunity: What are the differences between innate and adaptive immunity? The human body has two protective immunological systems against pathogens: the innate immunity and the adaptive immunity. In this quick and easy lesson, we will explain the differences between the innate and adaptive immunity. The innate immunity and adaptive immunity differ based on the type of components that are used to protect the human body. For example, the innate immunity consists of neutrophils, dendritic cells, natural killer cells, macrophages, complements, physical barriers. On the other hand, the adaptive immunity contains components such as T cells, B cells, and antibodies to protect us from viruses, bacteria, and other pathogens.
What is the respiratory system? In general, the respiratory system is a biological system that contains organs and structures that assist in gas exchange. Gas exchange involves the movement of carbon dioxide and oxygen between our circulating blood and air. In this educational lesson, we explore seven general functions of our respiratory system.
In this easy optics physics lesson, we learn about differences between Concave and Convex Lens, the Thin Lens Equation and how to problem-solve AP Physics or MCAT Physics problems.
What are the differences between the left lung and right lung? Here, we detail quick and easy to learn summary points of the right lung vs left lung. Left vs Right Lung
In this Harry Potter-themed physics lesson, we discuss about concave and convex lens and how to calculate and use the thin lens equation. Hop on board Hogwarts Express 9 3/4 for some magical mathematics and problem solving with physics lens!
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