Question

Prove that f is uniformly continuous on [0, infinity)

Answer 1

what is definition of uniform continuity

Answer 2

i have read this three times now, and unless i am missing something the problem does not make any sense, since the first line says the function is defined on the domain \([0,1)\) and the second line says something about the behavior of the function as \(x\to \infty\)

Answer 3

Oops, stupid typo, should be
Let the function
f:[0,infinity)→R
be continuous on [0,infinity) and
limx→∞f(x)=1

Prove that f is uniformly continuous on [0;infinity).

Thanks for pointing it out!