Sequences Flashcards

1
Q

Set Theory #1 (Pamphlet)

A
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2
Q

Set Theory #2

A
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3
Q

A sequence is a set of the for

A
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4
Q

Sequence (denotation and variations)

A
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5
Q

Notation for sequence and set

A

sequence: ( )
set: { }

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6
Q

Difference between sequence and set

A

the sequence may contain repeating values but the set of values does not.

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7
Q

Does a set have to be ordered?

A

No, that is up to us.

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8
Q

A sequence is said to converge to the real number _ provided that

A

s

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9
Q

Archimedian Property

A
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10
Q

How do you write, (sn) converges to s?

A
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11
Q

The number s is called the ____

A

limit of the sequence (s_n)

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12
Q

A sequence that does not converge to some real number is said to __-

A

diverge

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13
Q

The sequence that converges to the number e is

A
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14
Q

Limit are ____ (Prove it)

A

Unique

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15
Q
A
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