calc notes lecture 5-6

calc notes lecture 5-6 - If ( ) f x is continuous then, (...

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Lecture Sections Objective Assignment 5-6 1.6 Continuity of functions 1.6: 1 - 37 eoo. 39, 43, 45, 53,55 Understanding Goals: 1. To understand the meaning of “a function is continuous at a point or on a closed interval” and know how to determine it. 2. To understand how the greatest integer function is defined and how to use it to model and solve real-life problem. 3. To understand how to use compound interest model to solve real-life problems. 1
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Example 1 : Discuss the continuity of each function: (a) 2 ( ) 2 3 f x x x = + - (b) 1 ( ) f x x = (c) 2 1 ( ) 1 f x x = +
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Unformatted text preview: If ( ) f x is continuous then, ( 29 ( 29 lim ( ) lim ( ) x a x a f g x f g x x = . 2 removable Two types of discontinuity gap nonremovable infinity--------3 Example 2 : Discuss the continuity of each function: (a) ( ) 2 f x x =-(b) 2 5 1 2 ( ) 1 2 3 x x g x x x--=-< (c) 2 2 if 1 ( ) if 1 x x f x x x + = (d) The greatest integer function --x at 1 x = .--greatest integer such that . x n n x = 4 Example 3 : Determine where the function 2 2 1 ( ) 2 15 x f x x x + =--is discontinuous. 5...
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calc notes lecture 5-6 - If ( ) f x is continuous then, (...

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