Question: Prove in two ways that the numbers m(a) satisfy m(ab) = m(a) + m(b) (a) First method: Use the limit definition of m(b) and (b)

Prove in two ways that the numbers m(a) satisfy m(ab) = m(a) + m(b)
(a) First method: Use the limit definition of m(b) and

(aby)" - 1 = b" (a^ = 1) + b = 1 - - Bh h h h

(b) Second method: Apply the Product Rule to axbx = (ab)x.

(ab)" - 1 = B (r^= -1) + b = 1 - Bh h h

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