In a previous exercise 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 k is a positive constant. Solve this differential equation to find an expression for P(t). (Use P for P(t). Assume that P(0) = 0.) What is the limit of this expression? Limit t rightarrow infinity p(t) =