What can be concluded when the Integral Test is applied to the following series? 2 3n-5 n=3 Select one: The series converges by the Integral

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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What can be concluded when the Integral
Test is applied to the following series?
00
E 3n-5
n=3
Select one:
O The series converges by the Integral
Test.
O Integral Test cannot be applied since
f(x) = 3x is continuous and
positive, but not decreasing on the
interval of integration.
O The series diverges by the Integral
Test.
O Integral Test cannot be applied since
f(x) = 3x- is positive and
decreasing, but not continuous on the
interval of integration.
O None of the others.
Which of the following statement is true
for the alternating series below?
00
4" + 3
n=1
Select one:
O Alternating Series test cannot be
2
+ 0.
n-00 4" + 3
used, because lim
O Alternating Series test cannot be
used, because b,, = is not
4" +3
decreasing.
O The series diverges by Alternating
Series test.
O The series converges by Alternating
Series test.
O none of the others.
Transcribed Image Text:What can be concluded when the Integral Test is applied to the following series? 00 E 3n-5 n=3 Select one: O The series converges by the Integral Test. O Integral Test cannot be applied since f(x) = 3x is continuous and positive, but not decreasing on the interval of integration. O The series diverges by the Integral Test. O Integral Test cannot be applied since f(x) = 3x- is positive and decreasing, but not continuous on the interval of integration. O None of the others. Which of the following statement is true for the alternating series below? 00 4" + 3 n=1 Select one: O Alternating Series test cannot be 2 + 0. n-00 4" + 3 used, because lim O Alternating Series test cannot be used, because b,, = is not 4" +3 decreasing. O The series diverges by Alternating Series test. O The series converges by Alternating Series test. O none of the others.
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