4. Show that the series (-1)+1 k k=1 1 1 + 2 3 4 converges. Hint. Show that the partial sums of the series satisfy S₂ < SA < Se<

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 30E
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4. Show that the series
(-1)+1
k
k=1
1 1
+
2 3
4
converges. Hint. Show that the partial sums of the series satisfy
S₂ < SA < Se<<S<S<S₁.
Transcribed Image Text:4. Show that the series (-1)+1 k k=1 1 1 + 2 3 4 converges. Hint. Show that the partial sums of the series satisfy S₂ < SA < Se<<S<S<S₁.
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