We ---------him to give up smoking,but he wouldn't listen

A.manage to do sth.意思是“尽力做到了某事”,也就是说尽力做的事情成功了.此处并未成功劝戒掉,所以不能选.
try to do sth.尽力做某事,只是尽了做了不一定成功.
此处,advice to do,建议做某事,只是说建议了.