Why do sharks continually regrow their teeth?
Actually, most animals with teeth are polyphyodonts - they regenerate teeth throughout their lifespan. This includes sharks, crocodiles, fish and some mammals (kangaroos, elephants and manatees). Diphyodonty (only replacing teeth once) is the exception. I have a vague memory from undergrad that the evolution of specialised teeth in mammal-like reptiles, and specialised jaw musculature (which happened at the same time) is/was believed to be the reason behind this - for a reason I can sadly no longer remember, tooth specialisation and tooth regeneration are incompatible. When I can find more details and a source for the latter I'll edit them in.