Limits and continuity
Activities
Desmos activity (get class code in class)
Instructional Videos
Defining limits and using limit notation
--Estimating limit values from tables and graphs
Estimating limit values from graphs
--Estimating limit values from tables and graphs
--Unbounded limits
--Estimating limit values from graphs
--Estimating limit values from graphs (and tables)
--Estimating limits values from graphs and tables
Estimating limit values from tables
--Estimating limits using tables (and graphs)
Determining limits using algebraic properties of limits: limit properties
--Limit properties
--Limit properties part 2
--Limits of combined functions
Determining limits using algebraic properties of limits: direct subsititution
--Limits of trigonometric functions
--Limit of sin(x)/x as x approaches 0
Determining limits using algebraic manipulation
--Determining limits using algebraic properties of limits
--Limits by rationalizing
Selecting procedures for determining limits
Determining limits using the squeeze theorem
--**Example using the squeeze theorem
Exploring types of discontinuities
--Types of discontinuities
Defining continuity at a point
--Continuity at a point
Confirming continuity over an interval
--Functions continuous at specific x-values
--Functions continuous over all real numbers #10 & 39
--Functions continuous over all real numbers #13
Removing discontinuities
Connecting infinite limits and vertical asymptotes
--Limits at infinity KiSS Notes pt1
Connecting limits at infinity and horizontal asymptotes
--Basic facts to know for these
--Limits at infinity of quotients with square roost (simplifies to even power)
--Limits at infinity of quotients with square roost (simplifies to odd power)
--Limits at infinity of quotients
--Limits at infinity of quotients (same problem older video video)
--Limits at infinity of quotients with square roots
Working with intermediate value theorem
--Intermediate value theorem (IVT) (by: Patrick JMT)
--Worked example: using the intermediate value theorem (IVT) (by: Patrick JMT)
--Justification with the intermediate value theorem: equation (by: krista king)
AP Practice MC Questions (Ch2 in textbook)
--#1-6
--#7-8
--#9-10 (don't worry about these ones right now)
--#11
--#12-14
--#15
--#16-18
--#19-20
Desmos activity (get class code in class)
Instructional Videos
Defining limits and using limit notation
--Estimating limit values from tables and graphs
Estimating limit values from graphs
--Estimating limit values from tables and graphs
--Unbounded limits
--Estimating limit values from graphs
--Estimating limit values from graphs (and tables)
--Estimating limits values from graphs and tables
Estimating limit values from tables
--Estimating limits using tables (and graphs)
Determining limits using algebraic properties of limits: limit properties
--Limit properties
--Limit properties part 2
--Limits of combined functions
Determining limits using algebraic properties of limits: direct subsititution
--Limits of trigonometric functions
--Limit of sin(x)/x as x approaches 0
Determining limits using algebraic manipulation
--Determining limits using algebraic properties of limits
--Limits by rationalizing
Selecting procedures for determining limits
Determining limits using the squeeze theorem
--**Example using the squeeze theorem
Exploring types of discontinuities
--Types of discontinuities
Defining continuity at a point
--Continuity at a point
Confirming continuity over an interval
--Functions continuous at specific x-values
--Functions continuous over all real numbers #10 & 39
--Functions continuous over all real numbers #13
Removing discontinuities
Connecting infinite limits and vertical asymptotes
--Limits at infinity KiSS Notes pt1
Connecting limits at infinity and horizontal asymptotes
--Basic facts to know for these
--Limits at infinity of quotients with square roost (simplifies to even power)
--Limits at infinity of quotients with square roost (simplifies to odd power)
--Limits at infinity of quotients
--Limits at infinity of quotients (same problem older video video)
--Limits at infinity of quotients with square roots
Working with intermediate value theorem
--Intermediate value theorem (IVT) (by: Patrick JMT)
--Worked example: using the intermediate value theorem (IVT) (by: Patrick JMT)
--Justification with the intermediate value theorem: equation (by: krista king)
AP Practice MC Questions (Ch2 in textbook)
--#1-6
--#7-8
--#9-10 (don't worry about these ones right now)
--#11
--#12-14
--#15
--#16-18
--#19-20