If you don't feel a pulse, don't bother.
The standard procedure whenever a character (usually in crime series) discovers a corpse: They will either put their hand on the victim's wrist or neck, stare at it for two seconds, and then loudly announce their death, and also that nooone should touch anything. At this point, expect everyone in the audience who has any emergency training to cringe. Because in real life, just because you can't feel a pulse does not mean that the person is irrevocably dead. This is the very reason CPR exists - you are only supposed to use it if there is no pulse (or a very weak one in certain circumstances, but let's not be nitpicky). While not everyone in real life knows this, the amount of fictional police officers, detectives and sometimes even medical personnel who apparently never heard of modern medical emergency procedure is truly staggering. Of course, there are clear signs of death (like rigor mortis), but almost noone actually goes so far as to check for them. Sometimes even people who clearly were alive moments ago are only given the pulse check and then the coroner is called in. In even more egregious cases, just the breathing is checked, which is an even worse indicator. This can be perfectly justified in historical settings, since the idea of someone being able to survive after breathing and circulation have stopped is fairly recent. Resuscitation was first studied in the late 18th century, and modern CPR has only been around since the 1950s. Somewhat the other extreme of CPR (Clean, Pretty, Reliable) - instead of CPR being a miracle cure, it is apparently unknown. A subtrope of He's Dead, Jim.
Subversions, Lampshades and Parodies: