Limits & Continuity Topics
Introduction to Limits
Learn what happens when we get super close to a number but don't quite touch it! It's like peaking through a keyhole to see a mystery.
One-Sided Limits
Sometimes you can only approach a number from the left or the right. It's like walking towards a friend from different sides of the playground!
Limits at Infinity
What happens when numbers get bigger and bigger forever? We explore the mystery of the 'end' of the number line.
Limit Laws
The secret rules that make solving limits easy and fun. Once you know the laws, you're the master of math!
Continuity and Discontinuity
Find out if a graph is a smooth slide or if it has jumps and gaps in the middle. Smooth curves are continuous!
Removable Discontinuities
Some gaps in math can be fixed with just a single point! It's like filling a tiny hole in the sidewalk.
Infinite Limits & Asymptotes
When a graph goes up or down forever near a certain line. It's like a rocket ship taking off to space!
Squeeze Theorem
If two functions trap another one in the middle, they 'squeeze' it to a specific value. Peer pressure for math!
Epsilon-Delta Definition
The super-precise way mathematicians prove limits are correct. For our truly advanced math detectives!
Intermediate Value Theorem
If a continuous graph goes from low to high, it must cross every value in between. No jumping allowed!
Piecewise Functions & Continuity
Graphs made of different parts glued together. We check if the glue holds strong at every single seam!
Graphical Approach to Limits
Learning to find limits just by looking at pictures. It's like playing 'Where's Waldo?' with math points.
Algebraic Techniques
Using clever math tricks and factoring to solve tricky limit problems. Magic for your pencil!
Real-World Applications
See how limits help us understand speed, growth, and how the universe works in real life.