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What, if any, is wrong in the following argument? i. theta(sigma_i=1^n i^k) = theta(1^k + 2^k + 3^k + ... + n^k) = theta(max(1^k, 2^k,

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What, if any, is wrong in the following argument? i. theta(sigma_i=1^n i^k) = theta(1^k + 2^k + 3^k + ... + n^k) = theta(max(1^k, 2^k, 3^k, ..., n^k)) = theta(n^k) ii. O(n^2 - 100n+ 1) = O(max(n^2, -100n, 1)) = O(n^2) iii. O(1) = O(n-n+1) = O(max(n, -n, 1)) = O(n)

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