# hw13 - padilla(tp5647 – HW13 – Gilbert –(56650 1 This...

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Unformatted text preview: padilla (tp5647) – HW13 – Gilbert – (56650) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine whether the following series ( A ) ∞ summationdisplay m = 1 2 ln(3 m ) m 2 , ( B ) ∞ summationdisplay m = 1 1 + sin(3 m ) m 2 + 2 converge or diverge. 1. both series converge 2. A converges, B diverges 3. A diverges, B converges 4. both series diverge 002 10.0 points Determine the convergence or divergence of the series ( A ) ∞ summationdisplay n = 2 n 3(ln n ) 2 , and ( B ) ∞ summationdisplay n =1 tan- 1 n 2 + n 2 . 1. both series converge 2. both series diverge 3. A converges, B diverges 4. A diverges, B converges 003 10.0 points If a m , b m , and c m satisfy the inequalities < a m ≤ c m ≤ b m , for all m , what can we say about the series ( A ) : ∞ summationdisplay m =1 a m , ( B ) : ∞ summationdisplay m = 1 b m if we know that the series ( C ) : ∞ summationdisplay m =1 c m is convergent but know nothing else about a m and b m ?...
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hw13 - padilla(tp5647 – HW13 – Gilbert –(56650 1 This...

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