- #1

- 631

- 283

- Homework Statement
- ##\frac{1}{x}##

- Relevant Equations
- ##\frac{1}{x}##

For values of ##x## such that ##x>0##, is ##\frac{1}{x}## bound above?

My reaction is that if ##x>0## then ##\frac{1}{x}## is defined because ##x\neq 0##. But, it is not bound above because ##x## can be taken arbitrarily close to ##0## and ##\displaystyle{\lim_{x \to 0}} \frac{1}{x} = \infty##

My reaction is that if ##x>0## then ##\frac{1}{x}## is defined because ##x\neq 0##. But, it is not bound above because ##x## can be taken arbitrarily close to ##0## and ##\displaystyle{\lim_{x \to 0}} \frac{1}{x} = \infty##