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1 —1 use as in:
I obliged her every request.
- Pickett answered obligingly, unconcerned, "Well, Jim Kemper kept needling our English friend about why they didn't come and join in with us, it being in their interest and all, and the Englishman said that it was a very touchy subject, since most Englishmen figured the war was all about, ah, slavery, and then old Kemper got a bit outraged and had to explain to him how wrong he was, and Sorrel and some others joined in, but no harm done.1.4 — Day 1 Chapter 4 (25% in)
There are no more uses of "oblige" flagged with this meaning in The Killer Angels.
Typical Usage (best examples)