If you know where the person you are researched died, you may be able to locate an obituary by contacting the paper in that area.
Some larger papers have indexed their more recent obituaries and you may be able to access this if you use an Internet search engine. The search string should include the name of the city and state that you are looking for along with the word "obituaries."
Some historical societies also have microfilm copies of newspapers published in their area. See historical societies.
If you are not sure that searching for an obituary is the next best option for your research, consider using the advice feature of this site. This will help you pick your next best steps in your research. Go to Genealogy Search Advice.