Calculus 1 - Limits and Continuity

Limits and Continuity are a core topic in Calculus 1, and this lesson shows how to solve them through graphs, algebra, and key theorems. You'll see when limits exist, how one-sided behavior works, and why indeterminate forms need more analysis. Practice factoring, rationalizing, trigonometric limits, the Squeeze Theorem, epsilon-delta reasoning, and limits at infinity. Explore continuity, vertical and horizontal asymptotes, and the Intermediate Value Theorem through step-by-step examples. Follow along, pause to solve the problems, and build the confidence to choose the right method for each limit. 0:00 Intro 0:07 Overview 0:39 Reading Limits from a Graph 4:16 Guessing Limits with a Table 7:10 Infinite Limits and Vertical Asymptotes 10:27 The Limit Laws 14:07 Zero over Zero 18:33 Other Disguises of 0/0 21:22 Splitting into Sides 23:47 The Squeeze Theorem 26:20 Trigonometric Limits 29:29 The Precise Definition of a Limit 32:10 Continuity 39:40 The Intermediate Value Theorem 42:57 Limits at Infinity 51:05 Exponentials, Logarithms, and Arctangent 54:02 Putting It All Together #Calculus1 #LimitsAndContinuity #College