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Question: problem 212 suppose that an accumulation function at is differentiable...

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Problem 2.12 Suppose that an accumulation function a(t) is differentiable and satisfies the property a(s +t)- a(s) + a(t) - a(0) for all non-negative real numbers s and t. (a) Using the definition of derivative as a limit of a difference quotient, show that a(t) a(0). (b) Show that a(t)-1+ it where i - a(1) -a(o) a(1) -1.
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