What does a shape with infinite surface area but finite volume look like? An example of such a mind-bending shape is Gabriel's Horn. It was first studied in the 17th…

Today, we'll solve a problem in a nice visual way without resorting to too many calculations. The problem involves calculating areas underneath a trig curve. In this post, we will…

Want to know how to calculate trig identities (equations that have trig functions)? In this post, I'll explain how to use a well-known formula (difference of squares) along with some…

Today, I'll explain how to calculate another limit that is somewhat different than the one here. Specifically, I'll explain how to calculate this: \begin{equation} \begin{split} \lim_{x \to 6} \frac{x \;…

Today, I'll explain how to calculate a limit that is somewhat different than the one here. Specifically, I'll explain how to calculate this: \begin{equation} \begin{split} \lim_{x \to 3} \frac{x^2 \;…

Today, I'll explain how to calculate the following limit: \begin{equation} \begin{split} \lim_{x \to 5} \frac{x^2 \; - \, 25}{x \; - \, 5} = 10 \end{split} \end{equation} Notice that both…