Recent content by 0x95

Would you elaborate more on your last post, I didn't quite get you. Thanks

ok, I see. a function can be a two-point function. and for (1) would it be correct to say that: lim f(g(x))=f(lim g(x) ): lim (g(x)) ^ 2 = (lim g(x) ) ^ 2 = 1 -> lim g(x) = 1 or lim g(x) = -1

That's what I've shown in (1), that f(x)=1 for all x or f(x)=-1 for all x

Hello, 1. Homework Statement 1) Let f(x) continuous for all x and (f(x)2)=1 for all x. Prove that f(x)=1 for all x or f(x)=-1 for all x. 2) Give an example of a function f(x) s.t. (f(x)2)=1 for all x and it has both positive and negative values. Does it contradict (1) ? 2. The attempt at a...