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.
Return to lesson.
Joseph L. Zachary
Department of Computer Science
University of Utah