# Math Help - Converges

1. ## Converges

Prove If {xn} converges and {Yn} diverges, then {xn + yn} diverges.

2. Originally Posted by tigergirl
Prove If {xn} converges and {Yn} diverges, then {xn + yn} diverges.
Prove first that if $(x_n+y_n)_n$ converges and $(x_n)_n$ converges, then $(y_n)_n$ converges. (very simple)

Then try to understand why this proves your initial claim. (you can try a proof by contradiction)