A prospecting cover letter, that is written when one does not know whether a job exists but would like to investigate the possibility of employment with a company, is also known as an unsolicited cover letter.

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This is because an unsolicited cover letter is sent to a company even if they have not advertised any job opening. It is a way to express interest in working with the company and to inquire if there are any potential job opportunities.

A Prospecting Cover Letter, That Is Written When One Does