Question

Suppose that b ≤ L+ε for all ε>0. Prove that b≤L.

Answer 1

We don't anything else?

Answer 2

we don't know anything else*

Answer 3

thats all the problem gives, I'm assuming b is a term in a sequence and L is its limit

Answer 4

we know that b-L<=epsilon and epsilon>0

Answer 5

i wonder can we do anything with that

Answer 6

also the hint we're given is to try and prove with contradiction (idk if that helps)

Answer 7

i have to leave and a second, but I will think about it and come and make a post