Understanding Continuous Functions in Calculus

📚 The video is about continuous functions in Calculus 1.

✅ To determine if a function is continuous at a certain point, calculate the limit of the function and compare it to the value of the function at that point.

❌ If the limit and the value of the function at a point are not equal, the function is not continuous at that point.

📚 Continuous functions in Calculus 1

👀 Determining continuity visually

📉 Discontinuities and open balls

📚 The video discusses continuous functions in Calculus 1.

📉 The function f(x) = x^2 - 1/x - 1 is continuous at x = 1.

🧪 The limit of the function as x approaches 1 is 2.

✨ Continuous functions and the concept of limits in Calculus.

🔍 Utilizing the difference of squares formula to simplify the limit expression.

🔄 Substituting the expression with the given limit and simplifying further.

📚 Continuous functions in Calculus 1

🧮 Understanding the continuity of a function

🔢 Calculating the limit of a function

📚 This video discusses continuous functions in Calculus 1.

🔢 Applying limits, the function approaches infinity when x approaches 0.

❌ In this specific case, the function is not continuous because the limit is not equal to the function value.

🎯 Understanding the properties of continuous functions is important in Calculus 1.