3. Define fn on (0, 1) by fn(x) = x". Show that fn converges to the constant function 0, but that this convergence is not uniform.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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3. Define fn on (0, 1) by
fn(x) = x".
Show that fn converges to the constant function 0, but that this convergence is not
uniform.
Transcribed Image Text:3. Define fn on (0, 1) by fn(x) = x". Show that fn converges to the constant function 0, but that this convergence is not uniform.
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