we define the first difference δf of a function f (x) by δf (x) = f (x

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we define the first difference δf of a function f (x) by δf (x) = f (x + 1) ˆ’ f (x).
41. First show that
We define the first difference δf of a function f

satisfies δP = (x + 1). Then apply Exercise 40 to conclude that

We define the first difference δf of a function f
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