B. Give an example for a function which is a pointwise convergent but not uniform convergent. (Prove it)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 48E
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Q1/ Answer one of the following:
A. Find a Riemann-Stieltjes integral for the function
x(x) = x² on [0,2]
f(x) = x,
B. Give an example for a function which is a pointwise
convergent but not uniform convergent. (Prove it)
Transcribed Image Text:Q1/ Answer one of the following: A. Find a Riemann-Stieltjes integral for the function x(x) = x² on [0,2] f(x) = x, B. Give an example for a function which is a pointwise convergent but not uniform convergent. (Prove it)
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