Limits and Continuity - PowerPoint PPT Presentation

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Limits and Continuity

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Arial Times New Roman Arial Black Default Design Slide 1 Definition of Neighborhood Definitions Examples Definition of Limit Definition of Limit Definition of an ... – PowerPoint PPT presentation

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Title: Limits and Continuity


1
Limits and Continuity
2
Definition of Neighborhood
(x0, y0)
(x0, y0 ,z0)
xo
3
Definitions
4
Examples
5
Definition of Limit
6
Definition of Limit
L
zf(x)
L
x0
7
Definition of an Approach
8
Limit Along an Approach
9
Definition of Limit Along an Approach
L
zf(x)
L
x0
10
Example
11
(No Transcript)
12
Example
13
(No Transcript)
14
Definition of Continuity
15
Examples of Continuous Functions
16
Example
17
Remarks
18
Examples
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