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