My mother has copd and chest infection, is she dying?

My 63 year old mother was admitted to hospital on Saturday. She has copd and a chest infection. She was complaining of back pain. And pain down her legs. She was talking and responsive on Saturday. On Sunday she was not very responsive, couldnt talk and could only smile at me. Today she is totally unresponsive and her hands and feet have gone blue and are ice cold. The doctor tells me she’s fine, but I don’t think she is. Is she dieing? Please could I have an opinion on this

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