Alternating Series Estimate Remainder Theorem SET

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8 Terms

1
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Alternating series converges if (1)

bn > 0

2
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Alternating series converges if (2)

bn>=bn+1

3
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Alternating series converges if (3)

Lim of bn = 0

4
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RN

S - SN

5
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The Nth remainder

RN

6
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The Nth partial sum of a series

SN

7
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The sequence of a series, added together

Partial sum

8
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|RN|

<= bN+1