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 · series session
Limits and continuity
The session will cover a fundamental intuition of limits, limit notation, determining limits through algebraic properties and manipulation and squeeze theorem, types of discontinuities, asymptotes, and the intermediate value theorem.
NK
Noah K
0
0/20
Lc
Calculus · series session
Limits and continuity
We will continue talking about limits!
SL
AM
Alex M
0
14/50
Lc
Calculus · session
Understanding Limits and Continuity for AP Calculus AB/BC
We will learn the definition of a limit, types of limits, the analytical meaning of a limit, and the method of calculation of some basic and standard limits which are essential for the rest of the AP Calculus syllabus.
My Background:
I am a current high school senior. I self-studied for the AP Calculus BC exam and scored a 5/5.
SR
Sumedh R
0
0/10
Lc
Calculus · series session
Limits and continuity
Intro to Calculus! Why study it? Why does it exist?
Limits: notation, meaning, determining them, asymptotes, and first theorem!
SL
LG
Luca G
0
12/200
Lc
Calculus · series session
Limits and continuity
We will take the limits unit exam.
SL
AM
Alex M
0
14/50
Lc
Calculus · series session
Limits and continuity
Plan to finish limits and start the second chapter
EW
Eric W
0
Registration full.
Lc
Calculus · series session
Limits and continuity
- Definition of limit and continuity
- Types of discontinuities
- Intermediate Value Theorem
- Extreme Value Theorem
- Evaluating limits using graphs and tables
- Evaluating limits using direct substitution
- Evaluating limits using algebraic manipulation
- End behavior and asymptotes
SL
PM
Piyush M
0
2/15
Lc
Calculus · series session
Limits and continuity
Structure of Sessions
1.1 - How do we find instantaneous rate of change?
1.2 - How is a limit different from the value of a function?
1.3 - Can you estimate a limit from a table of values?
1.4 - Can you determine limits graphically?
1.5 - What’s a one-sided limit?
1.6 - Can you determine limits using algebra?
1.7 - Can you figure out techniques of solving for limits?
1.8 - Can you find limits using the squeeze theorem?
1.9 - Can you select procedures for evaluating limits efficiently?
1.10 - What types of discontinuities can occur?
1.11 - What are the conditions for continuity?
1.12 - Can you justify continuity over an interval?
1.13 - What’s a removable discontinuity?
1.14 - How do we find limits at vertical asymptotes?
1.15 - How do we find limits at infinity?
BL
WB
William B
0
7/50
Lc
Calculus · series session
Limits and continuity
Introducing calculus: Can change occur at an instant?
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Quiz 1 + Start defining limits and using limit notation
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Continue defining limits and using limit notation
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Estimating limit values from graphs
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Estimating limit values from tables
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Determining limits using algebraic properties of limits
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Determining limits using algebraic manipulation
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Selecting procedures for determining limits
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Determining limits using the squeeze theorem
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Connecting multiple representations of limits
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Quiz 2 + Exploring discontinuities
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Defining continuity at a point
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Confirming continuity over an interval
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Removing discontinuities
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Connecting infinite limits and vertical asymptotes
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.
Lc
Calculus · series session
Limits and continuity
Connecting limits at infinity and horizontal asymptotes
SL
AM
GL
JL
Jeremy L and Alex M
0
Registration full.