Answer Happy

Accurate answers. Every time.
https://answerhappy.com/

Show that if I is bounded, and if f maps every Cauchy sequence in I to a Cauchy sequence, then f is uniformly continuous

https://answerhappy.com/viewtopic.php?t=19748

Page 1 of 1

Show that if I is bounded, and if f maps every Cauchy sequence in I to a Cauchy sequence, then f is uniformly continuous

Posted: Tue Nov 16, 2021 7:10 am
by answerhappygod
Show That If I Is Bounded And If F Maps Every Cauchy Sequence In I To A Cauchy Sequence Then F Is Uniformly Continuous 1
Show That If I Is Bounded And If F Maps Every Cauchy Sequence In I To A Cauchy Sequence Then F Is Uniformly Continuous 1 (23.87 KiB) Viewed 94 times
Show that if I is bounded, and if f maps every Cauchy sequence in I to a Cauchy sequence, then f is uniformly continuous. Show by example that the statement fails if the boundedness assumption of I is dropped.
All times are UTC-05:00
Page 1 of 1

Powered by phpBB® Forum Software © phpBB Limited