Taming the epsilon delta definition of limits.
The epsilon delta definition of limits makes much more sense with distance functions!
👉 More calculus ideas explored: • How can we be sure of the limit properties...
Here are a few other shorter videos where I use the formal definition to show limits and nonlimits:
1) (short) A simple linear function: • Showing a simple limit with the formal def...
2) A simple quadratic function: • The trickiness of x² in an epsilon-delta a...
3) (short) Showing the negation of the definition of limit: • Showing a non-limit with epsilon-delta #ca...
0:00 Intro
0:30 intutive idea of limits
1:00 distance between two numbers?
2:38 distance defines closeness
3:47 building the definition
5:23 visualizing our definition
8:04 when limits don't exist
9:15 an example limit proof
11:30 epsilon and delta are just names.
11:51 try yourself!
#calculus #limits #epsilondelta