Original PromptThis resource provides an introduction to limits and derivatives, focusing on foundational concepts essential for understanding calculus. It includes definitions and rules regarding limits, particularly the value a function approaches at a certain input, along with derivative shortcuts such as the power rule and product rule. The document presents worked examples and conceptual checks that help students evaluate limits through direct substitution and identify the derivatives of algebraic functions. It also features independent practice problems for both limit evaluation and differentiation, allowing students to apply the learned concepts. The resource is an excellent step for students progressing in mathematics, as it deepens their understanding of the behavior of functions at specific points and their rates of change.