MTH 1322 – Calculus II Homework 13 – Convergence of Series with Positive Terms 1. Determine whether the series converges or diverges. (a) 1 + 1 2 √ 2 + 1 3 √ 3 + 1 4 √ 4 + · · · (b) ∞∑ n=0 n 2n+ 1 (d)...

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MTH 1322 – Calculus II
Homework 13 – Convergence of Series with Positive Terms
1. Determine whether the series converges or diverges.
(a) 1 +
1
2
√
2
+
1
3
√
3
+
1
4
√
4
+ · · ·
(b)
∞∑
n=0
n
2n+ 1
(d)
∞∑
n=2
1
n lnn
(f)
∞∑
n=2
lnn
n2
2. Use a comparison test to determine whether the series converges or diverges.
(b)
∞∑
n=1
1√
n2 + 1
(d)
∞∑
n=2
n2
n4 − 1
(e)
∞∑
n=1
1
n2n
(g)
∞∑
n=0
2n
3n + 1

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Answered Same Day Jun 24, 2021

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Parvesh answered on Jun 24 2021

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MTH 1322 – Calculus II Homework 13 – Convergence of Series with Positive Terms 1. Determine whether the series converges or diverges. (a) 1 + 1 2 √ 2 + 1 3 √ 3 + 1 4 √ 4 + · · · (b) ∞∑ n=0 n 2n+ 1 (d)...

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