Question: Assume that L(a) = lim at - 1 x-0 X exists for all a > 0. Assume also that lim at = 1. x-0

Assume that L(a) = lim at - 1 x-0 X exists for all a > 0. Assume also that lim at = 1. x-0

(a) Prove that L(ab) = L(a) + L(b) for a, b > 0. (ab)* - 1 = a*b* a* + a* - 1 = a*(b 1) + (a* - 1). [This

L(a) = lim at - 1 x-0 X exists for all a > 0. Assume also that lim at = 1. x-0

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