United States Conference of Catholic Bishops
58. In principle, there is an obligation to provide patients with food and water, including medically assisted nutrition and hydration for those who cannot take food orally. This obligation extends to patients in chronic and presumably irreversible conditions (e.g., the “persistent vegetative state”) who can reasonably be expected to live indefinitely if given such care.40
If you're bothered by this and particularly if your only hospital is a Catholic one then you might want to check Compassion and Choice. Those of you in urban areas might be surprised by being told that sometimes the only hospital is Catholic, well guess what.