How to Understand Limits and Continuity in Calculus Step by Step

First lesson in a new Calc 1 series — starting with limits and continuity, the foundation for everything that comes after (derivatives, integrals, and beyond). In this session: What a limit actually means (approaching a value from the left and right) Evaluating limits numerically by plugging in values that get closer and closer to a point The famous limit of sin(x)/x as x approaches 0 Using substitution to evaluate limits like sin(4x)/x Limits at infinity for rational functions (matching what you already know from graphing horizontal asymptotes) The 3-step test for continuity at a point: does f(c) exist, does the limit exist (left = right), and does the limit equal f(c)? Worked examples applying the continuity test, including a preview of jump discontinuities Next up: a closer look at the different types of discontinuities (removable, jump, infinite) — subscribe so you don't miss it. Questions or something unclear? Drop a comment below — I read and respond to all of them. #Calculus #CalcOne #Limits #Continuity #MathTutor #LearnCalculus #APCalculus #APCalcAB #APCalcBC #MathAndEngineeringMadeEasy #CalculusForBeginners #STEM #MathHelp #PreCalcToCalc #HigherMath