Question: Write a proof by induction to show that power(x, n) correctly returns x^n. power(x, n): // Precondition: x > 1, int n >= 0. Assume

Write a proof by induction to show that power(x, n) correctly returns x^n. power(x, n): // Precondition: x > 1, int n >= 0. Assume no overflows. if n = 0 then return 1 else S = power(x*x, n/2) return n%2==0 ? s : s*x
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