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