5. Consider the sequence of functions {f(x)}n given by f(x) Show that this sequence of functions is pointwise convergent and for all x. wwwwww = * for XE[0,1] and 0 otherwise. n2 mm converges to the function f(x)=0

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
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SOLVE STEP BY STEP IN DIGITAL FORMAT
5. Consider the sequence of functions {f(x)}n given by f(x)
Show that this sequence of functions is pointwise convergent and
for all x.
=
for xE[0,1] and 0 otherwise.
n
converges to the function f(x)=0
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT 5. Consider the sequence of functions {f(x)}n given by f(x) Show that this sequence of functions is pointwise convergent and for all x. = for xE[0,1] and 0 otherwise. n converges to the function f(x)=0
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