1.2 Defining Limits and Using Limit Notation
- Syllabus
- 2020
- Topic
- 1.2
- Level
- —
Learning objectives
—LIM-1.A—Represent limits analytically using correct notation• LIM-1.A Represent limits analytically using correct notation.• LIM-1.A.1 Given a function f, the limit of f(x) as x approaches c is a real number R if f(x) can be made arbitrarily close to R by taking x sufficiently close to c (but not equal to c). If the limit exists and is a real number, then the common notation is lim x→c f(x) = R.- Exclusion statement: The epsilon-delta definition of a limit is not assessed on the AP Calculus AB or BC Exam. However, teachers may include this topic in the course if time permits.• Enduring understanding LIM-1: Reasoning with definitions, theorems, and properties can be used to justify claims about limits.—LIM-1.B—Interpret limits expressed in analytic notation• LIM-1.B Interpret limits expressed in analytic notation.• LIM-1.B.1 A limit can be expressed in multiple ways, including graphically, numerically, and analytically.• Enduring understanding LIM-1: Reasoning with definitions, theorems, and properties can be used to justify claims about limits.
LIM-1.A—Represent limits analytically using correct notation
- LIM-1.A Represent limits analytically using correct notation.
- LIM-1.A.1 Given a function f, the limit of f(x) as x approaches c is a real number R if f(x) can be made arbitrarily close to R by taking x sufficiently close to c (but not equal to c). If the limit exists and is a real number, then the common notation is lim x→c f(x) = R.
- Exclusion statement: The epsilon-delta definition of a limit is not assessed on the AP Calculus AB or BC Exam. However, teachers may include this topic in the course if time permits.
- Enduring understanding LIM-1: Reasoning with definitions, theorems, and properties can be used to justify claims about limits.
LIM-1.B—Interpret limits expressed in analytic notation
- LIM-1.B Interpret limits expressed in analytic notation.
- LIM-1.B.1 A limit can be expressed in multiple ways, including graphically, numerically, and analytically.
- Enduring understanding LIM-1: Reasoning with definitions, theorems, and properties can be used to justify claims about limits.