Experience or experiment?

We use experience as a verb when something happens to us, or we feel it. It is rather formal:

I experienced a feeling of deep sadness as I entered the refugee camp.
Customers have experienced problems in finding parking places at the mall.

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We don’t use live instead of experience:

How children behave when they grow up depends on what they experience during early childhood.
Not: … ~~what they live during early childhood.~~

Experiment as a verb means ‘try something in order to discover what it is like or to find out more about it’:

Scientists have experimented with liquids and gels in which plants can grow artificially.
I wish the government would stop experimenting with new teaching methods for our kids every couple of years.

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We don’t use experiment when we are talking about feelings or things which happen: