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1. (5+5 points) (a) Prove that log(am + 1) is O(log r) for all me Zt. (b) Give as good a big-O estimate as possible

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1. (5+5 points) (a) Prove that log(am + 1) is O(log r) for all me Zt. (b) Give as good a big-O estimate as possible (in terms of the standard reference functions) for the function (n! + 2") (n3 + log(n2 + 1)). Date: Nov 21, 2022, Crowdmark submission Due date Nov 26, 2022

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