Science:Math Exam Resources/Courses/MATH103/April 2006/Question 07 (c)/Statement

In an experiment involving a bacteria population, $N(t)$ denotes the size of the population (measured in thousands of individuals) as a function of time, starting at $t=0$. The initial population is $N(0)=N_{0}$.

c) What happens to the solution from part (b) as $t\to 1$? Can you find an initial population $N_{0}$ for which this problem doesn't occur for any time t?