The series O (C) because the integral = dr diverges, f(z) is positive and decreasing for all z 2 1. O (C) because the integral = dz converges, f(r) = = is positive and decreasing for all z 21 O (D) because the integral = dz diverges, f(x) is positive and decreasing for all r2 2. O (D) because the integral dr converges, f(r) is positive and decreasing for all r21. O None of the given options is correct.

The series O (C) because the integral = dr diverges, f(z) is positive and decreasing for all z 2 1. O (C) because the integral = dz converges, f(r) = = is positive and decreasing for all z 21 O (D) because the integral = dz diverges, f(x) is positive and decreasing for all r2 2. O (D) because the integral dr converges, f(r) is positive and decreasing for all r21. O None of the given options is correct.

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

Note: (D) =Diverge (C) =Converge

The series
O (C) because the integral = da diverges, (2)
is positive and decreasing for all z 21.
O (C) because the integral = dz converges, f(z)==is positive and decreasing for all z 21.
O (D) because the integral , = dz diverges,/(z)
=is positive and decreasing for all z2 2.
O (D) because the integral dr converges, f(r)= is positive and decreasing for all r 21.
TO None of the given options is correct.

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