For a variety of reasons you may not wish to disclose your personal address on your business correspondence.
This is completely understandable - as you may work with clients which you’d prefer to keep your home address hidden from.
As a limited company it is a legal obligation to provide your contact details to Companies House. Certain information, including your correspondence address, can be accessed for public viewing from Companies House.
For peace of mind it might be a solution to use an alternative service address as your correspondence and have them forward on your mail.