# Thread: limit of fog

1. ## limit of fog

Hi , there is a statement which my lecturer proved, however there were things that I didn't understand, so I decided to do the proof my way, however I think I have some mistakes, maybe everything that I did was wrong who knows.. So I would appreciate if you guys can check it and tell me what's wrong with it, or if it's ok. Thank you.

2. ## Re: limit of fog

Hi,
Your instructor did not prove the statement as you wrote it and neither did you. As written the statement is false. You must assume continuity of the function f at b. The attachment gives a counter example and why your "proof" is wrong: