1. Which of the following is not true about sequence an = n A. The sequence...

 

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1. Which of the following is not true about sequence an = √n A. The sequence converges to 0. B. lim ₁a = L, for some finite L. t=1 C. The series Σ(-1)"an converges. D. The series Σ a converges. 2. Which of the following sequences converge? (2) 10 I{}, I A. I only C. III only E. I and III only 3. Which the following statements are not true? Select all correct answers. A. If 0 ≤ bn ≤an and Σ bn converges, then Σ an converges B. If lim a, 0, then the series Σan is convergent. 71-00 B. II only D. I and II only F. I, II, and III C. The series En=1 is convergent. D. If an is convergent for an > 0, then Σ(-1)"an is also convergent. ncos 1 E. The ratio test can be used to show that Σ converges. 710 A. The limit lim ? Select all answers. 4. A series a,, is convergent if and only if an+1 is greater than 1. 71-00 an B. Its sequence of terms (a,) is alternating. C. Its sequence of partial sums (S) is bounded. D. Its sequence of partial sums (S) converges to some real number. E. Its sequence of terms (a,) converges to 0. II 5. Let alternating series Σ(-1)"a,, be conditionally convergent series. Which of the following is not necessarily true? A. Σla, converges. O e J 1. Which of the following is not true about sequence an = √n A. The sequence converges to 0. B. lim ₁a = L, for some finite L. t=1 C. The series Σ(-1)"an converges. D. The series Σ a converges. 2. Which of the following sequences converge? (2) 10 I{}, I A. I only C. III only E. I and III only 3. Which the following statements are not true? Select all correct answers. A. If 0 ≤ bn ≤an and Σ bn converges, then Σ an converges B. If lim a, 0, then the series Σan is convergent. 71-00 B. II only D. I and II only F. I, II, and III C. The series En=1 is convergent. D. If an is convergent for an > 0, then Σ(-1)"an is also convergent. ncos 1 E. The ratio test can be used to show that Σ converges. 710 A. The limit lim ? Select all answers. 4. A series a,, is convergent if and only if an+1 is greater than 1. 71-00 an B. Its sequence of terms (a,) is alternating. C. Its sequence of partial sums (S) is bounded. D. Its sequence of partial sums (S) converges to some real number. E. Its sequence of terms (a,) converges to 0. II 5. Let alternating series Σ(-1)"a,, be conditionally convergent series. Which of the following is not necessarily true? A. Σla, converges. O e J