[QUOTE=scorpio1;113799]Hey all,

Unsure on how to structure the proof to the following:

Suppose that the sequence (an) tends to the limit A, while the sequence (bn) tends to the limit B. Prove that the sequence (an + bn) tends to A + B.

Pick a natural number so for all n >

pick a natural number so for all n>

let be the max of and

the go for it. for all n >

use the triangle inequality and you have got it made