As a business page you cannot request that people become your ‘friend’, but you can INVITE personal users to like your page.

Do this by using Facebook as your personal profile. Now go directly to your page, using the search box.

Once on the page you will see a section under your profile image (namely your logo) on the left hand side.  Click Invite friends to like this page. You can only invite people who are your personal friends. Just type in the name of the person you would like to invite or click the INVITE button next to friends you have recently interacted with.

If, as a business, you have a personal profile instead of a page then you are using Facebook incorrectly and you risk being banned from the site.  It is possible to change a profile into a page.

More on the differences and how to switch from personal to business