Question: Determine the sequence generated by each of the following exponential generating functions. (a) f(x) = 3e3x (b) f(x) = 6e5x - 3e2x (c) f(x) =

Determine the sequence generated by each of the following exponential generating functions.
(a) f(x) = 3e3x
(b) f(x) = 6e5x - 3e2x
(c) f(x) = ex + x2
(d) f(x) = e2x - 3x3 + 5x2 + 7x
(e) f(x) = 1/(1-x)
(f) f(x) = 3/(1 - 2x) + e

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