There are many series to calculate in Calculus. In particular, Taylor Series are widely used in Calculus courses. In this post, I'll explain how to use Taylor Series to calculate…

In this post, I'll describe how to quickly calculate the following trigonometric limit. Once you learn this method, you'll have a better idea of how L'Hospital's Rule is used. $$…

Curious about expressions like ? In this post, I'll explain how you can use L'Hospital's Rule in unexpected ways to solve this problem: $$ \lim_{x \to 0^+} x^x = 1…

In this post, I'll use L'Hopital's Rule (a rule that is important for calculating limits) to calculate the following limit: $$ \lim_{x \to 0^+} x \ln(x) = 0 $$ This…

Happy Labor Day Weekend! Today, I'll explain how to add an infinite number of trigonometric functions. In particular, I'll explain why it is not as intimidating as it seems. This…

In this post, I'll explain how to approach unusual problems involving concepts known as limits (these are numbers that represent what the limits of certain expressions are). What makes this…

Previously, I calculated limits (numbers that represent what the limits of certain expressions are) using the difference of squares method. In this post, I'll calculate a limit that contains trigonometric…

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…