19) Prove or find a counter example to the following statements: a) f is continuous on (a,b) implies that for any (XR)->C, (f(x)) converges b) f is uniformly on [a, b] & [b, c] implies that I is continuous on [a, c] f
19) Prove or find a counter example to the following statements: a) f is continuous on (a,b) implies that for any (XR)->C, (f(x)) converges b) f is uniformly on [a, b] & [b, c] implies that I is continuous on [a, c] f
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
Question
![19) Prove or
find a counter example to the
following statements:
a) f is continuous on (a,b) implies that for any
(XR)->C, (f(x)) converges
b) f is uniformly on [a, b] & [b, c] implies
that I is continuous on [a, c]
f](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa332eac-d846-4704-9340-0a50b86bfcea%2F5249bf44-e7f9-4662-b395-388876404734%2Fsebuuhh_processed.png&w=3840&q=75)
Transcribed Image Text:19) Prove or
find a counter example to the
following statements:
a) f is continuous on (a,b) implies that for any
(XR)->C, (f(x)) converges
b) f is uniformly on [a, b] & [b, c] implies
that I is continuous on [a, c]
f
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