series > Vn+4 which we compare to the improper integral dx. Vx +4 se Integral dx = Σ F, DNE are also possible answers. ategral Test Apply? ents below is true regarding the use of the Integral Test: ? md /(x) = 2. In continuous, positive, and decreaning on the interval (2, 0), so the Integral Test may be used. Vx+4 nd /(x)%3D is such that the negative of / continuous, positive, and decreasing on (2, 00); thus the Integral V+4 he above two statements is true, so the Integral Test may not be used. rerge or Diverge?
series > Vn+4 which we compare to the improper integral dx. Vx +4 se Integral dx = Σ F, DNE are also possible answers. ategral Test Apply? ents below is true regarding the use of the Integral Test: ? md /(x) = 2. In continuous, positive, and decreaning on the interval (2, 0), so the Integral Test may be used. Vx+4 nd /(x)%3D is such that the negative of / continuous, positive, and decreasing on (2, 00); thus the Integral V+4 he above two statements is true, so the Integral Test may not be used. rerge or Diverge?
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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Question
(please solve within 15 minutes I will give thumbs up)
Transcribed Image Text:Problem 2.
2.
which we compare to the improper integral
Consider the infinite series
2.
dx.
Vn +4
2
Part 1: Evaluate the Integral
Evaluate
= xp
Vx +4
Remember: INF, -INF, DNE are also possible answers.
- Part 2: Does the Integral Test Apply?
Which of the statements below is true regarding the use of the Integral Test: ?
(1). The integrand f(x) =
Va +4
is continuous, positive, and decreasing on the interval (2, 0), so the Integral Test may be used.
(2). The integrand /(x)%3=
is such that the negative of f continuous, positive, and decreasing on [2, o0); thus the Integral Test may be used.
Vx +4
(3). Neither of the above two statements is true, so the Integral Test may not be used.
- Part 3: Series Converge or Diverge?
The series>
2 VA +4
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