Sogyal Rinpoche wrote today:
"Your compassion can have perhaps three essential benefits for a dying person: First, because it is opening your heart, you will find it easier to show the dying person the he or she needs so much.
On a deeper, spiritual level, I have seen again and again how, if you can embody compassion and act out of the heart of compassion, you will create an atmosphere in which the other person can be inspired to imagine the spiritual dimension or even take up .
On the deepest level of all, if you constantly practice compassion for the dying person, and in turn inspire him or her to do the same, you might heal the person not only spiritually but perhaps even physically. And you will discover for yourself, with wonder, what all the spiritual masters know: that the power of compassion has no bounds."
(I don't think there is anything I could possibly add to that. It is perfect.)