Which of the following are false? 1. If a series is absolutely convergent then it is convergent. II. If a series is convergent then it is absolutely convergent. III. If a series is conditionally convergent then it is convergent. IV. If a series is convergent then it is conditionally convergent O a. II, IV O b.I O c. I, IV O d. I, II O e. I, II

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
icon
Related questions
Question
Which of the following are false?
1. If a series is absolutely convergent then it is convergent.
II. If a series is convergent then it is absolutely convergent.
III. If a series is conditionally convergent then it is convergent.
IV. If a series is convergent then it is conditionally convergent
O a. II, IV
O b.1
O c. I, IV
O d. I, II
O e. I, II
Transcribed Image Text:Which of the following are false? 1. If a series is absolutely convergent then it is convergent. II. If a series is convergent then it is absolutely convergent. III. If a series is conditionally convergent then it is convergent. IV. If a series is convergent then it is conditionally convergent O a. II, IV O b.1 O c. I, IV O d. I, II O e. I, II
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Series
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage