Suppose we define a function on the natural numbers, where f(0) = 1 and f(n) = nf(n
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Question:
Suppose we define a function on the natural numbers, where f(0) = 1 and f(n) = nf(n 1) for n 1.
Compute f(1),f(2),f(3),...,f(10) (using a calculator as necessary).
Find a closed form expression for f(n); that is, a way of computing f(n) without having to compute f(n1).
Use this to compute f(100).
If n and k are natural numbers with k < n, write
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