First of all, sorry for the late reply
and secondly, thank you for the suggestion.
The suggestion above is related to continuity of the function. I wanted to focus on the just basic concept of limit. Continuity of the function is whole another part. So, if I I ever write about it, I will surely add this.
I think I have properly defined infinity in this post. How to tackle that can be subject of the next post.
RE: So close, no matter how far: Concept of Limit