Welcome to this video where we dive deep into the concept of limits! 🌊 Whether you're a beginner or looking to refresh your knowledge, this video is designed for you. We’ll explore the fundamentals of limits, their significance in calculus, and how they lay the groundwork for more advanced topics.

📜 What You'll Learn:
Definition of limits
How to evaluate limits using various techniques
Understanding one-sided limits and infinite limits
Piecewise functions and their limits
🔍 Limit Rules:
Here are the essential limit rules that we'll cover in detail:

Constant Rule: lim (x → c) k = k
Identity Rule: lim (x → c) x = c
Sum Rule: lim (x → c) [f(x) + g(x)] = lim (x → c) f(x) + lim (x → c) g(x)
Difference Rule: lim (x → c) [f(x) - g(x)] = lim (x → c) f(x) - lim (x → c) g(x)
Product Rule: lim (x → c) [f(x) · g(x)] = lim (x → c) f(x) · lim (x → c) g(x)
Quotient Rule: lim (x → c) [f(x) / g(x)] = [lim (x → c) f(x)] / [lim (x → c) g(x)] (if lim (x → c) g(x) ≠ 0)
Power Rule: lim (x → c) [f(x)]^n = [lim (x → c) f(x)]^n
Root Rule: lim (x → c) ⁿ√[f(x)] = ⁿ√[lim (x → c) f(x)]

📚 Resources:
For further reading and practice, check out these resources:

Khan Academy: http://www.khanacademy.org/math/calcu...
Paul's Online Math Notes: http://tutorial.math.lamar.edu/Classe...
MIT OpenCourseWare: http://ocw.mit.edu/courses/mathematic...

🌟 Join the Conversation!
Don’t forget to leave a comment with your questions or insights! 💬 If you enjoyed the video, please give it a thumbs up 👍 and subscribe for more content on calculus and mathematics!

🔖 Tags:
#Limits #Calculus #Math #Education #Learning #Mathematics #PiecewiseFunctions #LimitRules #mathconcepts #maths