Question: 3. (Arithmetic-geometric mean inequality) Given real a, b > 0, show that ab (a+b)/2. Generalize this to 1 (a a2...an) 1/n (a1 + a2++an)

3. (Arithmetic-geometric mean inequality) Given real a, b > 0, show that

3. (Arithmetic-geometric mean inequality) Given real a, b > 0, show that ab (a+b)/2. Generalize this to 1 (a a2...an) 1/n (a1 + a2++an) for all nN. n

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