2. Show that if a > 0, then the sequence (²x²e¬n) converges uniformly on the interval [a, ∞), but that it does not converge uniformly on the interval [0, 0). -nx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
icon
Related questions
Question
Using | fn(x) - f(x) |
2. Show that if a > 0, then the sequence (n²x²e¬na) converges uniformly on
the interval [a, ∞), but that it does not converge uniformly on the interval
[0, 0).
-nx
Transcribed Image Text:2. Show that if a > 0, then the sequence (n²x²e¬na) converges uniformly on the interval [a, ∞), but that it does not converge uniformly on the interval [0, 0). -nx
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

I am trying to compute this problem WITHOUT using the sup property. By stating that for any n > N(\epsilon) | fn(x) - f(x) | < \epsilon

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage