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ExploreCalculusLimits and continuity

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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

Small-group help sessions in "Limits and continuity"

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

Calculus · series session

Limits and continuity

Today we will do a quick orientation to cover the entire week. Then we're gonna jump right in and start with an intro to limits and Calculus in general

Shriram N

0
0/15

Calculus · series session

Limits and continuity

Today we are going to explore the properties of limits and start covering algebraic ways to solve limits

Shriram N

0
0/15

Calculus · series session

Limits and continuity

Today we will be covering more algebraic ways to solve limits like factoring, conjugates, and trig identities

Shriram N

0
0/15

Calculus · series session

Limits and continuity

Today we will cover new important Unit 1 Calc Concept: Continuity

Shriram N

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0/15

Calculus · series session

Limits and continuity

Today we will cover limits using INFINITY!

Shriram N

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0/15

Calculus · series session

Limits and continuity

Today we will be covering 2 theorems, Intermediate value theorem, and squeeze theorem.

Shriram N

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0/15

Calculus · series session

Limits and continuity

Today is the last day of the series! Today we will look at real AP exam limits questions for you to apply what you learned.

Shriram N

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0/15

Calculus · series session

Limits and continuity

Interpreting the rate of change at an instant in terms of average rates of change over an interval.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Representing limits analytically using correct notation.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Interpreting limits expressed in analytic notation.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 1 |Estimating limits of functions.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 2 | Estimating limits of functions.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Determining the limits of functions using limit theorems.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 1 | Determining the limits of functions using equivalent expressions for the function or the squeeze theorem.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Understanding when and how to apply all skills relating to determining limits.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 2 | Determining the limits of functions using equivalent expressions for the function or the squeeze theorem.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Understanding when and how to apply all skills relating to limits and translating mathematical information from a single representation or across multiple representations.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 1 | Justifying conclusions about continuity at a point using the definition.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 2 | Justifying conclusions about continuity at a point using the definition.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Determining intervals over which a function is continuous.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Determining values of xx

or solve for parameters that a discontinuous functions continuous, if possible.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 1 | Interpreting the behavior of functions using limits involving infinity.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

DAY 2 | Interpreting the behavior of functions using limits involving infinity.

Jeremy L

0
14/30

Calculus · series session

Limits and continuity

Explaining the behavior of a function on an interval using the Intermediate Value Theorem.
+ Personal Progress Check assigned

Jeremy L

0
14/30

That's it for now!

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