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In a previous exercise we formulated a model for learning in the form of the differential equation dt 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? lim P(t)=
