3. Using any of the convergence tests covered in this chapter, determine which of the following sequences converge. Select all that converge. 7=) 2-5 2-5-10 + 2-9-28 2-9 11 (1) 2n +1 n=1 1 +1² arcsin arcsin arcsin 71 n+1 +n²+1 cos n n²+n D()*² 02n)" + 2-5-10-(n²+1) 2-9-28 (n3+1) ***

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 33E
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3. Using any of the convergence tests covered in this chapter, determine which of the following
sequences converge. Select all that converge.
0
n=
+
n=1
+1
TO
Vn +n
2-5 2-5-10
+
2-9 2-9-28
71
2n +1
arcsin arcsin
201
1
n²-1
+n²+1
cos n
72
2n
3n+
n!
(2n)!
n²+n
+1
n²
71
1-3-5-(2n-1)
n!
1+(-1)"
2+(-1)"
(¹+2) ³
n(n²+1)2
no +2n² + 4n+1
2-5-10-(n²+1)
2-9-28-(n³+1)
arcsin
71
n+1
Transcribed Image Text:3. Using any of the convergence tests covered in this chapter, determine which of the following sequences converge. Select all that converge. 0 n= + n=1 +1 TO Vn +n 2-5 2-5-10 + 2-9 2-9-28 71 2n +1 arcsin arcsin 201 1 n²-1 +n²+1 cos n 72 2n 3n+ n! (2n)! n²+n +1 n² 71 1-3-5-(2n-1) n! 1+(-1)" 2+(-1)" (¹+2) ³ n(n²+1)2 no +2n² + 4n+1 2-5-10-(n²+1) 2-9-28-(n³+1) arcsin 71 n+1
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