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10.7 Alternating Series Test Calculus - No Calculator Mastery Check #1 Name: _ Date: 1. Explain why the Alternating Series Test does not apply to the series(-1)" (3n2 ). =\\. 5 +0 Condition I states I'm an= o to use the A. S. T but lim & =1. sto 2. Determine the convergence or divergence of the series (1)n+ (n + 3) n(n + 1) n+ 3 = 1 7 0 Diverges 3. Which of the following series converge? 1. 1 P=3 Ln3 III. Itztasty ... nai V converges A. I only B. II only C. I and II only D. I and III only E. I, II, and III 4. Which of the following statements are true about the series _ 5(-1)" (n + 2) n+ 1 I. The series is alternating. II. lan+il S lanl for n 2 1. III. lim an = 0 72 -+ 0o A. None B. I only C. I and II only D. I and III only E. I, II, and III 5. Which of the following statements is true? A . (-1)+3 diverges by the Alternating Series Test. n=1 2(-1) n+1 (n converges by the Alternating Series Test. (-1)nti ( 1) converges by the Alternating Series Test. D. (-1)n+1 Cos(nit) converges by the Alternating Series Test. n2