Let be defined as . Prove that f is uniformly continuous
Follow Math Help Forum on Facebook and Google+
Originally Posted by Chandru1 Let be defined as . Prove that f is uniformly continuous Okay, what is the definition of "uniform continuity"?
Also, I would suggest dividing this into 4 cases: , ; x< 0, |y|< |x|; , , and x< 0, |y|< |x|.
You can also show that the function is Holder continuous on ; that is, where and are nonnegative real constants. If a function is Holder continuous, then it is uniformly continuous.
View Tag Cloud