Analysis: Chapter 13 Limits and continuity

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15 Terms

1
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Definition of accumulation points

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2
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Definition of isolated points

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3
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Definition of a limit in an accumulation point

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4
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Proposition on the uniqueness of limits

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5
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Theorem - sequence char. of limits

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6
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Theorem - limit laws

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7
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Definition - continuity in a point

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8
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Definition - continuity on a domain

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Alternative Ļµāˆ’Ī“ characterization of a continuity in a point

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10
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Theorem - Sequence characterization of continuity

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11
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Rules for continuous compositions

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12
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Images of compact sets under continuous functions are compact

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13
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Definition of uniform continuity

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Uniform continuity implies continuity

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Theorem - compactness and continuity imply uniform continuity

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