1. The problem statement, all variables and given/known data Let f be the function defined f(x)=1/x. Prove that f is not bounded on (0,1) 2. Relevant equations 3. The attempt at a solution I think I should prove by contradiction. Assume f is bounded on (0,1). Since f is bounded, there exists a real number M such that |f(x)| ≤ M for all x in (0,1) f(x) will never be negative since it is on the interval (0,1), hence |f(x)| = f(x) This is where I begin to get unclear on where to go next. I want to show that M+1 ≤ M Is it correct to use 1/(M+1) and plug it into f(x)?