![SOLVED: 5.4.3 Uniform Continuity Theorem Let be closed bounded interval and let f :I R be continuous on I Then f is uniformly continuous on Proof: If f is not uniformly continuous SOLVED: 5.4.3 Uniform Continuity Theorem Let be closed bounded interval and let f :I R be continuous on I Then f is uniformly continuous on Proof: If f is not uniformly continuous](https://cdn.numerade.com/ask_images/87a80f808f624e2d907a372214af2414.jpg)
SOLVED: 5.4.3 Uniform Continuity Theorem Let be closed bounded interval and let f :I R be continuous on I Then f is uniformly continuous on Proof: If f is not uniformly continuous
![real analysis - Continuity on $[a,b]$ implies uniform continuity on $[a,b]$ - Mathematics Stack Exchange real analysis - Continuity on $[a,b]$ implies uniform continuity on $[a,b]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/v3nq9.jpg)
real analysis - Continuity on $[a,b]$ implies uniform continuity on $[a,b]$ - Mathematics Stack Exchange
![SOLVED: Uniform continuity 3.29. Prove that f(x) =42is uniformly continuous in 0 <x < [. Method I: Using definition: We must show that, given any e > 0, we can find > SOLVED: Uniform continuity 3.29. Prove that f(x) =42is uniformly continuous in 0 <x < [. Method I: Using definition: We must show that, given any e > 0, we can find >](https://cdn.numerade.com/ask_images/ee18aab4834643d5bcfe9f868a08ed04.jpg)