If D ⊂ R^p, prove that function F : D → R^q is uniformly continuous on
D if and only if {F(x_n)} is a Cauchy sequence in R^q whenever {x_n} is a Cauchy sequence in D
I proved it =>, but now im having problems with <=. is this statement even true? or does the set D must be bounded?
D if and only if {F(x_n)} is a Cauchy sequence in R^q whenever {x_n} is a Cauchy sequence in D
I proved it =>, but now im having problems with <=. is this statement even true? or does the set D must be bounded?