All 4 Uses

nonetheless
in
Nights in Rodanthe
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Nonetheless, for the first couple of months after Brent had died, Adrienne spent nearly every day at their house, keeping the bills in order and preparing meals for the children, while Amanda slept and wept in her room.†
Chpt 1

nonetheless = in spite of that (used to connect contrasting ideas)
Though worried about the frantic pace he held himself to, she nonetheless accepted his proposal, and they walked the aisle ten months later.†
Chpt 3 *
He smiled, unsure if she meant it as a compliment, but pleased nonetheless.†
Chpt 9
Nonetheless, something had changed in the short time he'd been here, He wasn't sure when it had happened.†
Chpt 10

Definitions:

(1) (nonetheless)
in spite of that (Used to connect contrasting ideas. Other synonyms could include words and phrases such as nevertheless, all the same, still, and however.)
(2) (meaning too rare to warrant focus)