Answer

We simply take the limit of the intervals formula as the number of compounding intervals approaches infinity:

limit(intervals(P, R, n, m), m=infinity);

Based on this computation, we can now define a function that computes exponential growth under continuous compounding:

continuous := (P, R, n) -> P*exp(n*R);

Note that the Maple exp function returns the result of raising e to the power specified by its parameter.

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