0:00 Introduction to the Problem
0:58 Problem (a): When a → 0+
2:11 When b = 0 and c = 0
2:35 When Only b is Zero
3:48 When Only c is Zero
5:05 When b & c Are Both Nonzero (MY FAVORITE CASE)
8:29 Summary of Results for Problem (a)
9:50 Summary of Results for Problem (a), Simpler Table
9:58 Problem (b): When a → ∞
12:00 Summary of Results for Problem (b)

Bringing out another long video of Cornerstones of Math! In this ambitious video, I will take limit on a famous quadratic formula. What would happen to the roots if we take a limit a → 0? What about a → ∞? This is an interesting study where you have to utilize some tricks on calculating limits.

#Limits #Equations #QuadraticEquations #QuadraticFormula



CORNERSTONES OF MATH features quality math problems to strengthen your math fundamentals and problemsolving ability. Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc. I hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself.

Please consider giving a Like to this video and Subscribing to my channel, it really means a lot for the creator like me, and you will be introduced to many more interesting math videos!