9. Let I be a an interval and f: IR be uniformly continuous. Let {rn} be a sequence in I. Show that if {f(x)} is a Cauchy sequence, then {r,) is a Cauchy sequence.
9. Let I be a an interval and f: IR be uniformly continuous. Let {rn} be a sequence in I. Show that if {f(x)} is a Cauchy sequence, then {r,) is a Cauchy sequence.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hello I need help solving those math problems

Transcribed Image Text:9. Let I be a an interval and f: IR be uniformly continuous. Let {n} be a sequence in I.
Show that if {f(n)} is a Cauchy sequence, then {n}) is a Cauchy sequence.
![2. Let f:I-R, where I is an interval and re I. Suppose
= 0.
lim [f(a+h) + f(x-h) - 2f(x)] =
inle](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe742bcfc-6571-4eb6-8020-0d244ddd1492%2F3ef5ce89-ba44-45bc-8137-e07cb530a7df%2Fn43siem_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let f:I-R, where I is an interval and re I. Suppose
= 0.
lim [f(a+h) + f(x-h) - 2f(x)] =
inle
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