Recent content by mamute

Thank you, that was good.

that is exactly the point where I am confused. Since we have: lim(x->p) f(x) = A, then, in my opinion, we would have lim(x->p) ( f(x) - A) = 0, since A is defined in the line above: lim(x->p) ( f(x) - lim(x->p) f(x) ) = 0 And I don't know how to go any further from here. ;/ Alternatively...

The book's definition of a limit is such that: | f(x) -A | < ε whenever 0 < | x - p | < δ So it presents the three equations (on the previous post) and it says: The equivalence becomes apparent as soon as we write each of these statements in the ε, δ terminology. That is the core of my...

Hello guys, I am stuck in page 129 on Calculus Vol I - Apostol book. I would like to know if there is anybody here who can help me. I am not a mathematician, so It might be a simple transformation but I am not going through it. He states that: lim(x->p) f(x) = A is equivalent to say that...