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# Limits

8 videos
5 skills
Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve. If you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this tutorial!

### Introduction to limits

VIDEO 11:32 minutes
Introduction to limits

### Introduction to limits

VIDEO 7:37 minutes
Introduction to the intuition behind limits

### Two-sided limit from graph

VIDEO 2:46 minutes

### Two-sided limits from graphs

PRACTICE PROBLEMS

### One-sided limits from graphs

PRACTICE PROBLEMS

### Finding limits numerically

PRACTICE PROBLEMS
Find limits numerically by completing a table of values.

### Limit examples (part 1)

VIDEO 8:56 minutes
Some limit exercises

### Limit examples (part 2)

VIDEO 6:57 minutes
More limit examples

### Limit examples (part 3)

VIDEO 9:58 minutes
More limit examples

### Limit examples w/ brain malfunction on first prob (part 4)

VIDEO 15:02 minutes
3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))

### More limits

VIDEO 13:09 minutes
More limit examples

### Two-sided limits using algebra

PRACTICE PROBLEMS

### Two-sided limits using advanced algebra

PRACTICE PROBLEMS