# Thread: Definition of Limit

1. ## Definition of Limit

2. What are your thoughts? What progress have you made?

Please be complete. Thank you!

3. i realize that as the limit goes to infinity there is exists for every E>0 a corresponding number M so that x>M |f(x)-L|<E but im not sure how to put these definitons into the problem i have

4. Try $\left( {\exists \varepsilon > 0} \right)\left( {\forall \delta > 0} \right)\left( {\exists x_0 } \right)\left[ {0 < \left| {x - x_0 } \right| < \delta \wedge \left| {f\left( {x_0 } \right) - L} \right| \geqslant \varepsilon } \right]$