Will the electric company remove tree branches hanging over lines without charging us?

Recent storms caused 2 trees to lean, branches are hanging over the electric lines. We don't have the money to remove them and I don't know our liability if we try and they bring down the lines. If we call the electric co will they remove the branches that would take down the lines if they fell? Without charging us? Otherwise they are completely on our property and would not matter if they stay where they are or fell down but if they fall the way they are now the branches will definitely take out the power lines.