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APMA 1110 -
Homework+22+-+The+Ratio+and+Root+Tests
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Homework 22 – The Ratio and Root Tests 1) Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. a) 10012nnnb) 211nnn c) 0!6nnnd) 112!nn 2) Show that 13knnnconverges for all exponents k. 3) Assume that 1nnaa converges to 13. What can you say about the convergence of 31nnna? 4) Apply the Root Test to determine convergence or divergence, or state that the Root Test is inconclusive. a)13nnn b)010kkkk c)01054nnnn 5) Prove whether the following infinite series converge absolutely, converge conditionally, or diverge. a) 315nnn b) 12nnn c) 1!nnen d) 2114nn e) 3221nnnn f)
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