This is a terrible story from India; the article in Hindustan Times explains how:
"In an apparent case of negligence by doctors, a newborn died after his arm got cut during a C-section delivery at a government hospital in Udaipur. Ranjit Meghwal, a resident of Kelwara town in Rajsamand district, about 100 km from Udaipur, alleged that the doctors at Pannadhay Hospital accidentally cut the arm of the baby while conducting the caesarian on his wife Babli, 25, on Wednesday. The baby's condition became critical on Friday and he was put on artificial respiration. However, at 8 p.m., he was pronounced dead."
As readers of my website will know, I list 'human error' as one of the risks of cesarean delivery - even planned cesarean delivery. The competence of any medical team looking after you is vital, and while I am as horrified by the above story as anyone else, I'd like to think that the risk of something like this happening in the UK, Europe, North America or Australia (for example) is extremely low.