Alternating Series Test Determine whether the

Chapter 10, Problem 24E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

11-24. Alternating Series Test Determine whether the following series converge.

\(\sum_{k=1}^{\infty}(-1)^k\ k\sin\left(\frac{1}{k}\right)\)

Questions & Answers

QUESTION:

11-24. Alternating Series Test Determine whether the following series converge.

\(\sum_{k=1}^{\infty}(-1)^k\ k\sin\left(\frac{1}{k}\right)\)

ANSWER:

Problem 24E

Alternating Series Test Determine whether the following series converge.

Solution

Step 1

In this problem we have to find whether the series converge or not.

Alternating series test:

Suppose that for there exists a N so that for all

  1. is positive and decreasing
  2. .

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back