Suppose that the sequence of functions {fn} and the function f are integrable on [a, b] and that {fn} converges to f uniformly on [a,b]. If {an} is a sequence in [a, b] that converges to a, prove that lim fn = S" f.
Suppose that the sequence of functions {fn} and the function f are integrable on [a, b] and that {fn} converges to f uniformly on [a,b]. If {an} is a sequence in [a, b] that converges to a, prove that lim fn = S" f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 26RE
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
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