Consider a population of a species for which each individual has a constant probability, b, of producing a new individual (birth) and a constant probability, d, of going extinct (death). The extinction probability as a function of time, t, can be approximated by (b not equal to d ):
P(t)= d((e^(b-d)t)-1)/(be^(b-d)t)-d
Compute the limit P(t) for (t) approaches infinity if 1) b>d and 2)b<d