Limits and Continuity, Part 1 (Calculus Problems and Solutions)
The idea of a limit is what distinguishes calculus from algebra. Limits and continuous functions are related to each other, and we work through the solutions to many calculus homework problems in this calculus problem solving tutorial. Infinite Powers, How Calculus Reveals the Secrets of the Universe: https://amzn.to/37PBMjb. 🔴 Calculus 1, Lesson 1.1: Linear Functions (3Blue1Brown SoME2): • Calculus 1, Lesson 1.2: Exponential Functions 🔴 Calculus 1, Lesson 1.2: Exponential Functions: • Calculus 1, Lesson 1.1: Linear Functions (... 🔴 Calculus 1, Lesson 1.3: Quadratic Functions, Transformations of Functions, and Function Composition: • Calculus 1, Lesson 1.3: Quadratic Function... 🔴 Calculus 1, Lesson 1.4: Logarithmic Functions (Intro to Horizontal Compressions & Inverse Functions): • Calculus 1, Lesson 1.4: Logarithmic Functi... 🔴 Calculus 1, Lesson 1.5: Trigonometric Functions and Inverse Trigonometric Functions: • Calculus 1, Lesson 1.5: Trigonometric Func... 🔴 AP Calculus AB Exam Review: Practice Exam Problems & Solutions (Multiple Choice, No Calculator): • AP Calculus AB Exam Review 2026: Practice ... 🔴 AP Calculus AB Exam Review: Free Response Practice Exam Problems & Solutions: • AP Calculus AB Exam Review 2026: Free Resp... 🔴 AP Calculus BC Exam Review: Practice Exam (30 Question Multiple Choice, No Calculator): • AP Calculus BC Exam Review 2026: Practice ... 🔴 AP Calculus BC Exam Review: Free Response Practice Exam Problems & Solutions: • AP Calculus BC Exam Review 2026: Free Resp... 🔴 Calculus 1 Exam 1 Review Problems and Solutions (Precalculus, Limits, Continuity, Derivatives): • Calculus 1 Exam 1 Review Problems and Solu... 🔴 Calculus 1 Course, Lecture 1: The Big Ideas (Rates & Areas, the Infinity Principle & Circular Area): • Calculus 1 Course, Lecture 1: The Big Idea... 🔴 Calculus 1 Course Lecture Playlist: • Calculus 1 Course Lectures #limits #limitsandcontinuity #continuity Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ 🔴 Follow me on Twitter: / billkinneymath 🔴 Follow me on Instagram: / billkinneymath 🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ (0:00) Graphical limits and continuity (12:20) Find the largest interval where f(x) is continuous (16:22) Continuity of a drug injection (amount as a function of time) (23:21) Estimate a limit numerically and remove a discontinuity (29:33) Evaluate limits algebraically (38:28) lim sin(1/x) as x goes to zero does not exist (DNE) AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.
