Use the Ratio Test to determine whether the series is convergent or divergent.
Whether the series is convergent or divergent by using the ratio test.
Use the ratio test.
2) The Ratio Test:
(i) If , then the series is absolutely convergent. (and therefore convergent).
(ii) If or then the series is divergent.
(iii) If , then the ratio test is inconclusive, that is, no conclusion can be drawn about the convergence or divergence of .
Here is positive and
By the ratio test, consider,
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Calculus: Early Transcendental Functions
Precalculus: Mathematics for Calculus (Standalone Book)
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: Early Transcendentals
Finite Mathematics and Applied Calculus (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Essentials Of Statistics
Single Variable Calculus
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Statistics for The Behavioral Sciences (MindTap Course List)
Understanding Basic Statistics
Probability and Statistics for Engineering and the Sciences
Mathematical Excursions (MindTap Course List)
Elementary Technical Mathematics
Mathematical Applications for the Management, Life, and Social Sciences
Single Variable Calculus: Early Transcendentals
Calculus of a Single Variable
Elementary Geometry For College Students, 7e
Trigonometry (MindTap Course List)
Elements Of Modern Algebra
Contemporary Mathematics for Business & Consumers
Calculus: Early Transcendental Functions (MindTap Course List)
Elementary Geometry for College Students
Finite Mathematics for the Managerial, Life, and Social Sciences