Business property has a small separate cap
Equipment, tools and stock used for a business sit under a low business property limit rather than your contents limit, frequently a couple of thousand dollars. A tenant with a few thousand dollars of tools is already outside it without owning anything unusual.
Business liability is excluded, not reduced
If a customer is injured collecting something, or a product you made causes harm, personal liability generally does not respond at all. That is an exclusion rather than a limit, and it is the half of this subject with no ceiling on the loss.
The lease has an opinion too
Many leases restrict commercial activity in a residential unit. That is a tenancy question separate from insurance, and running afoul of it can cost you the home rather than the claim.