short story about immortality

[Joel91]

There is a de Maupassant short story about a small town that is offered immortality, which they accept, then understand the unintended consequences. Anybody know the title?

[timothi13]

Thank you very much. The story I am looking for is set far in our future. I read it around 1980-84.

[litt]

What was the title of the short story? I am doing a project for my AP english class and this story is exactly what I am looking for!