The biggest collection of online newspapers is accessible from Lexis will full text access to most UK newspapers.
LexisLibrary
Includes The Guardian, Herald, Independent, Telegraph, Times and more. Go to Content, then Newspapers to start your search. Narrow your search to eg UK National Broadsheets, if required.
Many newspapers are also available online from the publisher's website, most with an archive. You may need to register.
Dundee City Libraries The Central Library takes several local and national newspapers. Electronic newspapers tend not to include photographs and other graphical information, so it may be necessary to consult the originals. Local newspapers are kept permanently.
The National Library in Edinburgh has an extensive newspaper collection. Students wishing to consult any of these should check information on using the library.