Author Archives

Hannah Gao

I am super passionate about math and science, and I am excited to share my knowledge with others!

Calculus: Methods for Solving Limits with Explanations, Practice Questions, and Answers [AP Calculus, Calculus 101, Math]

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!

Calculus: Two Important Theorems – The Squeeze Theorem and Intermediate Value Theorem

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.

AP Calculus: Limits and Continuity

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.