Homework+20+-+Convergence+of+Series+with+Positive+Terms

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Homework 20 – Convergence of Series with Positive Terms 1) Use the Integral Test to determine whether the infinite series is convergent. a) 2 1 1 1 n n b)  2 2 1 ln n nn 2) Use the Comparison Test to prove whether the infinite series is convergent. a) 1 1 2 n n n b) 1 3 1 1 2 n n n c) 2 2 1 sin k k k d) 1 3 5 4 2 k k kk 3) Use the Limit Comparison Test to prove convergence or divergence of the infinite series. a) 2 4 2 1 n n n b) 3 35 12 n n n  c) 1 1 ln n d) 1 1 sin n n    4) Prove whether the following infinite series converge or diverge using any
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