Canada Geese lay n eggs, where n Z varies from one goose to another, and is inherited by the goose's offspring. The probability that each egg hatches is P(n) = 1 hn^2 , where h = 0.1. Assume that geese that hatch always grow up to lay eggs. After many generations of Natural Selection, how many eggs will each Canada Goose be laying?

(Hint: Probabilities can only be from 0 to 1.)

(Hint: Compute the limit as time approaches infinity.)