Problem #10: Which of the following sequences converge? (-1)"+1 n n² +2 (-1)+1² n²+2 (i) an (ii) an = (iii) a, = sin(n) (iv) an = cos(nл) (A) (ii) only (B) (ii) and (iii) only (C) (ii) and (iv) only (D) all of them (E) (i) and (iii) only (F) none of them (G) (i) and (iv) only (H) (i) only

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Problem #10: Which of the following sequences converge?
(-1)"+1 n
(i) an
1²+2
(-1)+1²
n²+2
(ii) an
(iii) a, = sin(n)
(iv) an = cos(nл)
(A) (ii) only (B) (ii) and (iii) only (C) (ii) and (iv) only (D) all of them (E) (i) and (iii) only (F) none of them
(G) (i) and (iv) only (H) (i) only
Transcribed Image Text:Problem #10: Which of the following sequences converge? (-1)"+1 n (i) an 1²+2 (-1)+1² n²+2 (ii) an (iii) a, = sin(n) (iv) an = cos(nл) (A) (ii) only (B) (ii) and (iii) only (C) (ii) and (iv) only (D) all of them (E) (i) and (iii) only (F) none of them (G) (i) and (iv) only (H) (i) only
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