Although there is no theoretical supply limit, at this rate, the number of Dogecoins put into circulation will only double in 20 years (the next doubling will occur in the year 2075). There is no implemented hard cap on the total supply of Dogecoins.
Will Dogecoin ever limit supply?
With Dogecoin, there will always be plenty of new coins. Even if someone loses millions of DOGE, the long-term impact is minimal, since there are constantly new coins going into circulation. With no supply cap, lost coins don't matter as much.
Is Dogecoin supply unlimited?
Since there is an unlimited supply of Dogecoin tokens, the value of a single token is very low compared to other altcoins.