In Exercise 13 in Section 9.1 we formulated a model for learning in the form of the

Question:

In Exercise 13 in Section 9.1 we formulated a model for learning in the form of the differential equation dP/dt = k (M – P). Where P (t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and is a positive constant. Solve this differential equation to find an expression for P (t). What is the limit of this expression?