How to output contents of rotating log files dynamically to stdout?

by Rubin|Published July 3, 2023

I want to output the contents of a number of rotating log files, let’s say file.log.1 and file.log to stdout for continued processing.

For a single log file I could have used tail -F file.log, but since I want to include the contents of the old log file as well: Is there a good way to do this without a temporary file?