Limits and Continuity

1
Limits and Continuity
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Definition of Neighborhood
(x0, y0)
(x0, y0 ,z0)
xo
3
Definition of Limit
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Definition of Limit
L
zf(x)
L
x0
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Definition of an Approach
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Limit Along an Approach
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Definition of Limit Along an Approach
L
zf(x)
L
x0
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Example
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Example
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Definition of Continuity
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Examples of Continuous Functions
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Definition of Open and Closed Sets
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Definition of Boundary
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Definition of Bounded
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Definition of Boundary
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Definition of Compact
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Extreme Value Theorem