Does the tusk grow continously through life?

Yes, the tusk of an elephant grows continuously throughout its life. Elephant tusks are composed of ivory, which is a modified form of dentin, the hard tissue that makes up most of the tooth.

Tusks erupt from the mouth at around 6 months of age and continue to grow for the rest of the elephant's life. Elephants use their tusks in various ways, such as foraging for food, digging for water, defending themselves, and marking their territory.