1The seriesn³(C) because the integral dxconverges, f(x):decreasing for all x > 1.is positive andx31O (D) because the integral J,diverges, f(x)dx1= is positive anddecreasing for all x > 2.1(C) because the integral dxdiverges, f (x) =1is positive anddecreasing for all x > 1.None of the given options is correct.1(D) because the integral *3 dxconverges, f(x)1is positive anddecreasing for all x > 1

The given series is ∑an=∑1n3 We will use the integral test to check the convergence of given series.…

The series n3 ∞ 1 dx (C) because the integral 1 converges, f (x) = is positive and decreasing for all x > 1. O (D) because the integral , diverges, f(x) = is positive and 1 decreasing for all x > 2. (C) because the integral dæ diverges, f (x) 1 1 is positive and decreasing for all x > 1. None of the given options is correct. ∞ 1 (D) because the integral * dæ converges, f (x) = is positive and decreasing for all x > 1.

The series n3 ∞ 1 dx (C) because the integral 1 converges, f (x) = is positive and decreasing for all x > 1. O (D) because the integral , diverges, f(x) = is positive and 1 decreasing for all x > 2. (C) because the integral dæ diverges, f (x) 1 1 is positive and decreasing for all x > 1. None of the given options is correct. ∞ 1 (D) because the integral * dæ converges, f (x) = is positive and decreasing for all x > 1.

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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