We useexperienceas a verb when something happens to us, or we feel it. It is rather formal:
Iexperienceda feeling of deep sadness as I entered the refugee camp.
Customers haveexperiencedproblems in finding parking places at the mall.
We don’t useliveinstead ofexperience:
How children behave when they grow up depends on what theyexperienceduring early childhood.
Not: …what they live during early childhood.
Experimentas a verb means ‘try something in order to discover what it is like or to find out more about it’:
Scientists haveexperimentedwith liquids and gels in which plants can grow artificially.
I wish the government would stopexperimentingwith new teaching methods for our kids every couple of years.
We don’t useexperimentwhen we are talking about feelings or things which happen:
She suddenlyexperienceda sensation of homesickness.
Not: …experimented a sensation…
The company’s Asia branchexperienceda sharp drop in profits in 2007.
Not: …experimented a sharp drop…