How to Calculate Limits Using Special Limits and Limit Laws

Miacademy & MiaPrep Learning Channel

This educational video provides a comprehensive guide to evaluating mathematical limits algebraically using Special Limits and Limit Laws. Moving beyond estimation techniques like graphing and tables, the lesson introduces precise rules that allow students to calculate limits for constants, linear functions, powers, roots, sums, differences, products, and quotients. The video uses a clear, scaffolded approach, starting with basic building blocks and advancing to complex rational functions. The content covers eleven specific rules: four Special Limits (Constant, Identity, Power, and Root) and seven Limit Laws (Sum, Difference, Constant Multiple, Product, Quotient, Power of a Function, and Root of a Function). Detailed examples demonstrate how to break down complex expressions into simpler parts to apply these rules. The video also addresses critical constraints, such as ensuring denominators are not zero when applying the Quotient Law. Ideal for Pre-Calculus and Calculus classrooms, this video bridges the gap between conceptual understanding of limits and algebraic mastery. It features guided practice problems where students are encouraged to pause and solve, followed by step-by-step walkthroughs of the solutions. The lesson culminates in a mixed practice session, reinforcing the ability to identify and apply the correct laws to various types of functions.