How to test the action inside a function that updates the state

I have some difficulty in understanding how to test my action inside a function:

    componentDidMount() {
    $.ajax(
        {
            url: this.props.url,
            dataType: 'json',
            cache: false,
            success: function (data) {
                if (this.props.url === "./information.json")
                    this.props.updateInfosAction(data.transport);
                else
                    this.props.updateNotifsAction(data.transport);
            }.bind(this),
            error: function (xhr, status, err) {
                console.error(this.props.url, status, err.toString());
            }.bind(this)
        }
    );
}

Here is my test to be sure that ComponentDidMount is called (it works):

    it('Should call component did mount', () => {
   expect(GetInfo.prototype.componentDidMount.calledOnce);
});

But I have no idea how to actually test the action.