5 Give an example of a sequence of continuous real-valued functions f₁, f2,... on [0, 1] and a continuous real-valued function f on [0, 1] such that for each x = [0, 1] but f(x) = lim f(x) k→∞o [ ²f = lim k→∞0 • Sot fik.
5 Give an example of a sequence of continuous real-valued functions f₁, f2,... on [0, 1] and a continuous real-valued function f on [0, 1] such that for each x = [0, 1] but f(x) = lim f(x) k→∞o [ ²f = lim k→∞0 • Sot fik.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Give an example of a sequence of continuous real-valued functions f₁, f2,...
on [0, 1] and a continuous real-valued function f on [0, 1] such that
for each x = [0, 1] but
f(x) = lim f(x)
k→∞o
[ ²f = lim
k→∞0
• Sot fik.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81bef884-df4c-4d3b-99bf-a011128e6088%2F83d7a6a8-5bb3-4d21-845b-ad5eeee416f6%2F8hb6efv_processed.png&w=3840&q=75)
Transcribed Image Text:5
Give an example of a sequence of continuous real-valued functions f₁, f2,...
on [0, 1] and a continuous real-valued function f on [0, 1] such that
for each x = [0, 1] but
f(x) = lim f(x)
k→∞o
[ ²f = lim
k→∞0
• Sot fik.
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