Question

T or F (Justify your answer)

Answer 1

For every continuous function \[f: (0,1)\rightarrow \mathbb{R}\] has a bounded image

Answer 2

True

Answer 3

It's false

Answer 4

can you explain?

Answer 5

take f(x) = 1/x for all x in (0,1), as x approaches 0, f(x) goes to infinity, and therefore has no upper bound

Answer 6

ok thanks a lot, I was confused in this thats why i guessed so as to learn it