Calculus

# Limits and continuity

- About the course
- Defining limits and using limit notation
- Estimating limit values from graphs
- Estimating limit values from tables
- Determining limits using algebraic properties of limits: limit properties
- Determining limits using algebraic properties of limits: direct substitution
- Determining limits using algebraic manipulation
- Selecting procedures for determining limits
- Determining limits using the squeeze theorem
- Exploring types of discontinuities
- Defining continuity at a point
- Confirming continuity over an interval
- Removing discontinuities
- Connecting infinite limits and vertical asymptotes
- Connecting limits at infinity and horizontal asymptotes
- Working with the intermediate value theorem

Register for a session to review this topic with a small group of learners.

Lc

Calculus · session

#### Advanced Limits

We'll go through some advanced practice problems to ensure you can deal with any limit you might face. This is not an introductory session—prior knowledge of limits is required. Of course you are not expected to know everything but be aware that very basic concepts will not be covered.

KF

Konstantinos F

0

4/10

Lc

Calculus · series session

#### Limits and continuity

Defining Continuity at a Point

SL

AM

GL

JL

Jeremy L and Alex M

0

4/30

Lc

Calculus · series session

#### Limits and continuity

We are going to cover the entirety of unit 1 of AP Calculus AB/BC, limits and continuity. This unit is the underlying foundation for each following unit in the AB/BC curriculum.

IS

SF

Sam F and Isahi S

0

15/20

Lc

Calculus · session

#### Limits and continuity review (with khan academy unit test)

We will go through the limits and continuity unit test in Khan Academy and I will answer or help with any questions concerning limits/continuity. This can serve as a great review for an AP Calculus AB/BC Unit 1 test or quiz, or for IB Mathematics any other mathematics course that involves limits. I hope to create a fun, engaging, and supporting environment in this session!

MB

Mohamed Ilyas B

0

1/10

Lc

Calculus · series session

#### Limits and continuity

Confirming Continuity over an Interval

SL

AM

GL

JL

Jeremy L and Alex M

0

4/30

Lc

Calculus · series session

#### Limits and continuity

Removing Discontinuities

SL

AM

GL

JL

Jeremy L and Alex M

0

4/30

Lc

Calculus · series session

#### Limits and continuity

Connecting Infinite Limits and Vertical Asymptotes

SL

AM

GL

JL

Jeremy L and Alex M

0

4/30

Lc

Calculus · series session

#### Limits and continuity

Connecting Limits at Infinity and Horizontal Asymptotes

SL

AM

GL

JL

Jeremy L and Alex M

0

4/30

Lc

Calculus · series session

#### Limits and continuity

Working with the Intermediate Value Theorem (IVT)

SL

AM

GL

JL

Jeremy L and Alex M

0

4/30

Lc

Calculus · series session

#### Limits and continuity

Defining the Derivative of a Function and Using Derivative Notation (day 1)

SL

AM

GL

JL

Jeremy L and Alex M

0

4/30

### That's it for now!

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