Consider the equation x = ax. If a = 0, then the solution to x = 0 is of course x(t) = C + Dt. Show that in the limit a → 0, equation (3.2) reduces to this form. Note: a → 0 is a very sloppy way of saying what we mean. What is the proper way to write this limit?

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x(t) = Aevat + Be-vāt (3.2)