I figured it out...here is the solution for anyone who is curious.
(\exists \varepsilon>0)(\forall N \in N)(\exists n,m\geq N)(\exists x \in R [|f_n(x)-f_m(x)| \geq \varepsilon]
Thanks for the help!
I am stuck in trying to take the negation of this statement:
(\forall \varepsilon>0)(\exists N \in N)(\forall n,m\geq N)(\forall x \in R [|f_n(x)-f_m(x)|< \varepsilon]
One of my thoughts was that in order to move the negation inside the brackets, all I need to do is say (\exists \varepsilon...