discrete structures problems 1.Find a limit to show that x(In(x2))3 is O(x2). Simplify when possible to...

discrete structures problems

1.Find a limit to show that x(In(x²))³ is O(x²). Simplify when possible to avoid doing more work than you have to. You will need to use L'Hôpital's rule at least once.

2.Suppose that f is o(g). What is lim(f(n)/g(n)) as n→ ∞?

3.Suppose that algorithm has run-time proportional to log n and takes 1 millisecond to process an array of size 3,000. How many milliseconds will it take to process an array of size 27,000,000,000 ? Hint: what simple relationship is there between the first number and the second number?

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Expert Solution

Colby Messinger answered 1 year ago

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