Bell Ringer
 Create a problem involving one of the concepts covered in chapter 1. Include an answer key with multiple ways to solve the problem.
 Evaluating Limits Algebraically
 Evaluating Limits Graphically
 Evaluating Limits Numerically
 Removable Discontinuity
 Nonremovable Discontinuity
 Onesided Limits
 Infinite Limits
 Stump Your Teacher Problems
Review
 Finding limits using a table
 Finding limits using a graph
 EpsilonDelta Limit Proofs
 Limit Properties
 Dividing Out/Rationalizing Techniques
 Functions that agree at all but one point
 Onesided Limits
 Infinite Limits
Lesson

Find the values of the constants a and b such that

Consider the function

Find the domain of f.

Calculate

Calculate

Determine all value of the constant a such that the following function is continuous for all real numbers.
Exit Ticket

The function f and its graph are shown below:

Calculate the limit of f(x) as x gets closer to 2 from the left side.

Which value is greater?

the limit of f(x) as x goes to 1

f(1)

Explain your answer.

At what value(s) of c on the interval [0, 4] does the limit of f(x) as x goes to c not exist?

Explain your answer.
 Lesson Objective(s)
 How are the concepts in chapter 1 related?
Standard(s)
 APC.2
 Define and apply the properties of limits of functions.
 Limits will be evaluated graphically and algebraically.
 Includes:
 limits of a constant
 limits of a sum, product, and quotient
 onesided limits
 limits at infinity, infinite limits, and nonexistent limits*
 APC.3
 Use limits to define continuity and determine where a function is continuous or discontinuous.
 Includes:
 continuity in terms of limits
 continuity at a point and over a closed interval
 application of the Intermediate Value Theorem and the Extreme Value Theorem
 geometric understanding and interpretation of continuity and discontinuity
 APC.4
 Investigate asymptotic and unbounded behavior in functions.
 Includes:
 describing and understanding asymptotes in terms of graphical behavior and limits involving infinity
