2. Sequences and Series of Functions 4. Show that the series Σ (-1)*+1 = 1- k 1 + 12 1 1 33 4 133 k=1 converges. Hint. Show that the partial sums of the series satisfy S2 < S4 S6 << S5 < S3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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2. Sequences and Series of Functions
4. Show that the series
Σ
(-1)*+1
= 1-
k
1
+
12
1
1
33
4
133
k=1
converges. Hint. Show that the partial sums of the series satisfy
S2 < S4 S6 << S5 < S3 <S₁.
Transcribed Image Text:2. Sequences and Series of Functions 4. Show that the series Σ (-1)*+1 = 1- k 1 + 12 1 1 33 4 133 k=1 converges. Hint. Show that the partial sums of the series satisfy S2 < S4 S6 << S5 < S3 <S₁.
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