Show that the convergence by rows of a double series does not imply convergence by columns, but if the sum by rows, columns and reciangles all exist, then all three must be equal. Show also that the result may not be true if the convergence by rectangles is not assumed.
Show that the convergence by rows of a double series does not imply convergence by columns, but if the sum by rows, columns and reciangles all exist, then all three must be equal. Show also that the result may not be true if the convergence by rectangles is not assumed.
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
Related questions
Question
Example with short justifications
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage