Part 3. Determine the interval of convergence for the series x + ⁹x² + ² 9x² 27x³ 81x4 9 A. Un = 1. The general term u,, for the series is 3x" 71+2 (3x)n B. Un= C. Un= 2n-1 (3x)" D. Un= 2n+1 71+2 3x²-1 7 + C. Alternating series test D. Comparison test 2. To determine the interval of convergence, A. Integral test B. Ratio test ·+· is performed. 3. Which of the following is correct after performing the test in #2? A. -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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For nos. 4 and 5, if the interval obtained from #3 is x₁ < x < x₂,
To determine whether x = x₁ is part of the IOC, the
A.
B. Ratio test
C. Alternating series test
D. Comparison test
5. The given power series is
A. Convergent, convergent
B. Convergent, divergent
C. Divergent, convergent
D. Divergent, divergent
at x = x₁, and is
is performed.
_at x = x₂.
Transcribed Image Text:For nos. 4 and 5, if the interval obtained from #3 is x₁ < x < x₂, To determine whether x = x₁ is part of the IOC, the A. B. Ratio test C. Alternating series test D. Comparison test 5. The given power series is A. Convergent, convergent B. Convergent, divergent C. Divergent, convergent D. Divergent, divergent at x = x₁, and is is performed. _at x = x₂.
Part 3. Determine the interval of convergence for the series
9x² 27x³ 81x4
+
7
9
x + 5
1. The general term un for the series is
3x"
n+2
(3x)n
A. Un
B. Un=
C. Un =
2n-1
(3x)"
D. Un = 2n+1
n+2
3x²-1
2. To determine the interval of convergence,
A. Integral test
B. Ratio test
C. Alternating series test
D. Comparison test
is performed.
3. Which of the following is correct after performing the test in #2?
A. -3<x<3
B. -<x<
C. -1 < x < 1
D. 1<x<0
Transcribed Image Text:Part 3. Determine the interval of convergence for the series 9x² 27x³ 81x4 + 7 9 x + 5 1. The general term un for the series is 3x" n+2 (3x)n A. Un B. Un= C. Un = 2n-1 (3x)" D. Un = 2n+1 n+2 3x²-1 2. To determine the interval of convergence, A. Integral test B. Ratio test C. Alternating series test D. Comparison test is performed. 3. Which of the following is correct after performing the test in #2? A. -3<x<3 B. -<x< C. -1 < x < 1 D. 1<x<0
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