Continuous and Uniformly Continuous Functions Mug
I asked a continuous function about their property and they said: "for every fixed x in the domain and given a epsilon > 0 there is a delta > 0 ...". Then, I asked a uniformly continuous function about their property and they said: "for every epsilon > 0 there is a delta > 0 ..." .The conclusion is: for the continuous function the delta depends on each given x, however, for a uniformly continuous function the delta doesn't depend on the point x.
$17.70
![](https://pinterest.com/pin/create/button/?url=http://findamug.com/product/mugs/Continuous-and-Uniformly-Continuous-Functions-Mug/168573721587474464&media=https://rlv.zcache.com/continuous_and_uniformly_continuous_functions_mug-r07ca33cf73684704babe91546d6f89ec_kfpw6_500.jpg?rlvnet=1&description=I asked a continuous function about their property and they said: "for every fixed x in the domain and given a epsilon > 0 there is a delta > 0 ...". Then, I asked a uniformly continuous function about their property and they said: "for every epsilon > 0 there is a delta > 0 ..." .The conclusion is: for the continuous function the delta depends on each given x, however, for a uniformly continuous function the delta doesn't depend on the point x.)
