We formulated a model for learning in the form of the differential equation dP/dt = k(M -

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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 per-formance, and k is a positive constant. Solve this differential equation to find an expression for P(t). What is the limit of this expression?
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