Quote:
Originally Posted by lime
Hi! That is really buffling question for me as well, but I cannot understand another variant:
*by the way the question was about (0,1) not [0,1].
WHY? If f=tan(Pi/2*(x-0.5)) so in that case we have (0,1)->(-inf, +inf) and it is not bounded? Where am I wrong?  |
Your function is not defined at all real numbers.
I used [0,1] since (0,1) is a subset of [0,1]. ([0,1] is very nice, it is closed, bounded, compact, connected.) Since f is continuous in R, f also is continuous in [0,1].....