Let a{t) be a function such that a(0) = 1 and / is constant for all n.

Question:

Let a{t) be a function such that a(0) = 1 and /„ is constant for all n.

(a) Prove that a{t) = (1 + iY for all integers / > 0.

(b) Can you conclude that ait) = (1 + iy for all t > 0?

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