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Louli
The type of business organization that can continue indefinitely known as a cooperation.

A cooperation is a type of business that is owned by a stakeholder and has somehow limited personal risks as the loss is usually limited to the amount of investment. This type of business is somehow not easy to form and can last indefinitely.

Other types of businesses include:
1- 
sole proprietorship which is a business formed by only one owner and ends up with either the death of this owner or the closure of the business
2- partnership which is a business formed by at least two owners and ends up with either the death of one of the partners or the closure of the business

Meochi
The correct answer and spelling to your question is "Corporation"