# Math Help - equivalence

1. ## equivalence

If n is equivalent to n' and m is equivalent to m', prove that (n+m) is equivalent to (n'+m').

2. How is equivalence defined here?

3. I have a def. that says that if {a_n} is a convergent sequence and {a_n}-{b_n} is a null sequence then {a_n} is equivalent to {b_n}