1.2 Prove that if {Sn(x)} is a sequence of continuous functions on I which c uniformly to f(x) on I then f(r) is continuous on I.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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on I = (0, 1).
1.2 Prove that if {Sn(x)} is a sequence of continuous functions on I which co
uniformly to f(x) on I then f(r) is continuous on I.
1.3 Let fn: (-3, 3] →R be defined by Sn(x) = Find the pointwise limit
of fn(x).
1.4 Does {fn(x)} in 1.3 converges uniformly on [-3, 3]? Explain.
Transcribed Image Text:on I = (0, 1). 1.2 Prove that if {Sn(x)} is a sequence of continuous functions on I which co uniformly to f(x) on I then f(r) is continuous on I. 1.3 Let fn: (-3, 3] →R be defined by Sn(x) = Find the pointwise limit of fn(x). 1.4 Does {fn(x)} in 1.3 converges uniformly on [-3, 3]? Explain.
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