(I'm) much obliged (to you)spoken old-fashionedTHANK used to thank someone very politely (我对你)非常感谢,不胜感激〔用于礼貌地向某人致谢〕(I’m) much obliged (to you)• Madam Deputy Speaker: I am much obliged to the hon. Gentleman.
→ (I’m) much obliged (to you) at oblige(2)