Chapter 5: Continious Functions Flashcards

(18 cards)

1
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Notation for a neighbourhood and a deleted neighbourhood

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2
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3
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4
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5
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6
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7
Q

Example

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8
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9
Q

State the definition of a function being continuous at a point c

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10
Q

Special case: what is the defintion of continuity at an interior point of an open interval

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11
Q

How would the general definition change if the function is defined over closed intervals?

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12
Q

What is the theorem of the relation of limits and sequences ?

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13
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14
Q

Algebra of limits for functions

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15
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16
Q

What is the sandwich theorem for continuous functions?

17
Q

Prove the sandwich theorem for continuous functions:

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Just convert to sequential