2. Consider the series: S=4 4 4 4 4 4 + 3 5 7 9 4 1/3 - + + (-1) ²₁ (12 4 2n-1 11 13 ♡ In this series, as 11 →∞, the sum of the series approaches. (This is incredibly cool by the way!). What does it mean to say the limit of the series approaches ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the series:
4
S₁ = 4
4 4
+
3 5
7
+
4
9
4 4
+
11 13
+ (-1)^³^¹ (
... +
4
2n-1
A
23
What does it mean to say the limit of the series approaches ?
st
In this series, as n →∞, the sum of the series approaches. (This is incredibly cool by the way!).
n
Transcribed Image Text:2. Consider the series: 4 S₁ = 4 4 4 + 3 5 7 + 4 9 4 4 + 11 13 + (-1)^³^¹ ( ... + 4 2n-1 A 23 What does it mean to say the limit of the series approaches ? st In this series, as n →∞, the sum of the series approaches. (This is incredibly cool by the way!). n
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