Which of the following statement is true for the Ratio Test? Select one: none of the others an+1 O The series is convergent if lim | an = 40. n-00 an+1 +'1 = 0. an The test is inconclusive if lim n-00 an+1 1 The series is divergent if lim An %3D 40 n→00 an+1 The series is divergent if lim | | = 40. an n→00 The series +*+ +...is equal to Select one: (-1)" Σ n 3+1 O None of the others 5(-1*1 (-1)" n1 3"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following statement is true for the
Ratio Test?
Select one:
none of the others
an+1
= 40.
The series is convergent if lim|-
an
n→00
The test is inconclusive if lim |n+1| = 0.
an
1
an+1
The series is divergent if lim |
an
40
n→00
an+1
The series is divergent if lim |
| = 40.
an
n→00
The series +
+ + +... is equal to
Select one:
O : (-1)"
Σ
n=1 3 +1
O None of the others
n=1 3"+1
1
n=13+1
O : (-1"
Σ
n1 3"
Transcribed Image Text:Which of the following statement is true for the Ratio Test? Select one: none of the others an+1 = 40. The series is convergent if lim|- an n→00 The test is inconclusive if lim |n+1| = 0. an 1 an+1 The series is divergent if lim | an 40 n→00 an+1 The series is divergent if lim | | = 40. an n→00 The series + + + +... is equal to Select one: O : (-1)" Σ n=1 3 +1 O None of the others n=1 3"+1 1 n=13+1 O : (-1" Σ n1 3"
Which of the following statement is true for the
alternating series below?
n5 + 5n
n=1
Select one:
The series diverges by Alternating Series test.
Alternating Series test cannot be used,
because b,
is not decreasing.
n+5n
Alternating Series test cannot be used,
+ 0.
n→0o nd + 5n
because lim
none of the others.
The series converges by Alternating Series
test.
Transcribed Image Text:Which of the following statement is true for the alternating series below? n5 + 5n n=1 Select one: The series diverges by Alternating Series test. Alternating Series test cannot be used, because b, is not decreasing. n+5n Alternating Series test cannot be used, + 0. n→0o nd + 5n because lim none of the others. The series converges by Alternating Series test.
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