I know how to do a N Epsilon proof but don't you have to have |s_n + t_n - (s + t)| < epsilon??
And that is to show that the lim (s_n + t_n) = s + t. I need to know lim |s_n - t_n| = 0. i guess i am unsure how the abs effect the proof.
Help proving a sequesnce converges
I am really stuck on this on
Let sn and tn be sequences. Suppose that lim sn = L (where s is a real number) and lim |sn - tn| = 0. Prove that lim tn = L.
I think this is going in the right way but i am not sure. If the lim an = A, then lim |an - A| =...
I am really stuck on this on
Let sn and tn be sequences. Suppose that lim sn = L (where s is a real number) and lim |sn - tn| = 0. Prove that lim tn = L.
I think this is going in the right way but i am not sure. If the lim an = A, then lim |an - A| = 0.
any help would be very nice.