LIMITS OF FUNCTIONS
CHAPTER 1: FUNCTIONS
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1. TYPES OF FUNCTION
A. DOMAIN AND RANGE OF A FUNCTION
B. COMPOSITE FUNCTION
C. INVERSE OF A FUNCTION
D. CONSTANT, INCREASING AND DECREASING FUNCTIONS
E. EVEN AND ODD FUNCTIONS
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2. SPECIAL FUNCTIONS
A. PIECEWISE FUNCTION
B. ABSOLUTE VALUE FUNCTION
C. SIGN FUNCTION
D. FLOOR FUNCTION
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CHAPTER 2: LIMIT OF A FUNCTION
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1. DEFINITION
A. LIMIT OF A POLYNOMIAL FUNCTION
B. LIMITS ON A GRAPH
C. DEFINITION OF LIMIT
1. Neighborhood of a Number
2. e - Neighborhood of a Number
3. Limit of a Function
D. ONE-SIDED LIMITS
E. LIMITS OF SPECIAL FUNCTIONS
F. LIMITS INVOLVING INFINITY
a) Checking from left and right
b) 0/a & a/0 ( zero over a number & a number over zero ) Video 1 ,
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2. INDETERMINATE FORMS
A. 0/0 AS A LIMIT Video 1 ,
1. The Indeterminate Form in Trigonometric Functions
B. ∞/∞ AS A LIMIT
C. 0 × ∞ AS A LIMIT
D. ∞ – ∞ AS A LIMIT
E. 1∞ AS A LIMIT
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CHAPTER 3: CONTINUITY
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1. CONTINUOUS FUNCTIONS
A. CONTINUITY AT A POINT
B. CONTINUITY ON AN INTERVAL
C. TYPES OF DISCONTINUITY
1. Removable Discontinuity
2. Jump Discontinuity
3. Infinite Discontinuity
D. PROPERTIES OF A CONTINUOUS FUNCTION ON A CLOSED INTERVAL