   Chapter 11.6, Problem 30E

Chapter
Section
Textbook Problem

Use the Root Test to determine whether the series is convergent or divergent. ∑ n = 1 ∞ ( arctan   n ) n

To determine

Whether the series is convergent or divergent by using the root test.

Explanation

1) Concept:

Use the root test.

2) The Root Test:

(i) If limn|an|n=L<1, then the series n=1an is absolutely convergent. (and therefore convergent).

(ii) If limn|an|n=L>1 or limn|an|n= then the series n=1an is divergent.

(iii) If limn|an|n=1, then the root test is inconclusive, that is, no conclusion can be drawn about the convergence or divergence of an

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Calculate y'. 22. y = sec(1 + x2)

Calculus: Early Transcendentals

Factoring Trinomials Factor the trinomial. 72. 6y2 + 11y 21

Precalculus: Mathematics for Calculus (Standalone Book)

Evaluate each expression: 34+23422021

Elementary Technical Mathematics

Finding a Limit In Exercises 536, find the limit. limx4(2x+3)

Calculus: Early Transcendental Functions (MindTap Course List) 