MTH 1322 – Calculus II Homework 14 – Absolute and Conditional Convergence 1. Determine whether the series converges absolutely, conditionally, or not at all. (a) 1− 1 2 √ 2 + 1 3 √ 3 − 1 4 √ 4 + · · ·...

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MTH 1322 – Calculus II
Homework 14 – Absolute and Conditional Convergence
1. Determine whether the series converges absolutely, conditionally, or not at all.
(a) 1− 1
2
√
2
+
1
3
√
3
− 1
4
√
4
+ · · ·
(b)
∞∑
n=1
(−1)n−1 n
2n+ 1
(d)
∞∑
n=1
(−1)n−1 1√
n2 + 1
(e)
∞∑
n=0
(−1)n 1
2n
(f)
∞∑
n=2
(−1)n 1
n lnn
2. Find an approximate value for the sum of the series that is co
ect to within 10−3.
(b)
∞∑
n=0
(−1)n 1
(2n+ 1)!

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Answered Same Day Jun 25, 2021

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Itika answered on Jun 25 2021

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MTH 1322 – Calculus II Homework 14 – Absolute and Conditional Convergence 1. Determine whether the series converges absolutely, conditionally, or not at all. (a) 1− 1 2 √ 2 + 1 3 √ 3 − 1 4 √ 4 + · · ·...

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