Question: Let a > 0 be a positive real number. Let A = {a | n e N} = a, a2, a3, .. .} be the

Let a > 0 be a positive real number. Let A

Let a > 0 be a positive real number. Let A = {a" | n e N} = a, a2, a3, .. .} be the set of all positive integer powers of a. (a) If a > 1, show that A is not bounded above. Hint: Use the Binomial Theorem on (1 + (a - 1))".] (b) If a

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