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!
In this chapter, we will introduce the first big idea in AP Calculus: Limits and Continuity. This a topic that is included in both the AB and BC Calculus courses. Even if your course hasn’t started yet, a good way to prepare yourself for it is to study limits, as they are generally easy to grasp. This will give you a head start on (most likely) the first topic you will learn in your AP calculus course, and can inhibit you from falling behind.
In this calculus article, we will talk about the methods for actually solving or evaluating limits. There are practice questions included, labeled PRACTICE, and they are there for you to test your understanding of the different methods. The answers are at the very bottom. Enjoy!
Learn about two very cool theorems in calculus using limits and graphing! The squeeze theorem is a useful tool for analyzing the limit of a function at a certain point, often when other methods (such as factoring or multiplying by the conjugate) do not work. This theorem also has other names like the Sandwich Theorem or the Pinch Theorem, but it is most commonly called the Squeeze Theorem. The Intermediate Value Theorem, often abbreviated as IVT, deals with a single function unlike the Squeeze Theorem.
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.
When you hear the word “robot”, what image usually comes to mind? Is it a metallic, boxy machine? A sleek android that talks to people? A robot is a machine that is automatically operated and completes tasks in replacement for humans. Some robots are humanoid and have actions that resemble human movement, such as ASIMO (Advanced Step in Innovative Mobility), a robot created by Honda that can walk with two legs (Honda).
A lesson plan look at the relationship between limits and the continuity of a function for calculus. In the last article, we started talking about limits and their applications for analyzing functions. In this article, we will look at how limits can be used to determine the continuity of a function at a point.
Thinking about taking AP Calculus AB or BC sometime in the future but unsure if it is the right course for you? Read this article to find out!
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!
As the sun slowly rises in the early mornings of Japan, Kenji a young and bright high school student eagerly heads off to school. In his high-collared black uniform and with his backback strapped around his shoulders, he blends in easily among the crowd of other high school […]
Freddie is a 13 year-old schoolboy living in United Kingdom’s England. While attending secondary school and juggling schoolwork and extracurriculars, this young and talented student also enjoys channeling into his creativity by creating unique educational games and animations, shared around the world. In his latest project, “What does […]
From Superman and Wonder Woman to Captain America and Black Widow, every spectacular star-spangled superhero team seems to rock and roll with the teamwork of both the XY and XX chromosomes. While our world may not have the fantasy superhero team flying in the sky or wearing red […]
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