Here's a lovely short story showing, among other things, an optimistic view of an immortal life

Jack was gone.

What could she do?

What did she have to do? Suddenly she realized how silly the simulation had been: how could she have hoped to get closer to him, than to live his vision of the future?

Only one small action, one appropriate action, remained that she could perform. She could remember forever.

And so, just as a part of her lived forever on the Mountain, just as a part of her lived forever singing, so now she maintained a part of her that would spend all its moments remembering her earlier moments with him. She became in part a living memorial to the one who brought her here.

"The Gentle Seduction" by Marc Stiegler