1. ## Find the limit

Suppose that b<= (L + Epsilon) for all Epsilon > 0.

Prove that b <= L.

I have been working on this for the last hour. I think it has to work either with contradiction or contrapositive, but I couldn't figure out.
Could you guys give me suggestions to start?

2. Originally Posted by kaka87
Suppose that b<= (L + Epsilon) for all Epsilon > 0.
Prove that b <= L.
Suppose that $\displaystyle b>L$ then let $\displaystyle \varepsilon = \frac{{b - L}}{2} > 0$.

Apply that to the given and see a contradiction.