Homework Solution: Using limits and possibly L'Hopital's rule, determine whether or not the following assertion is true. (a) (31gn)^3 – 10 squareroot…

    5. Using limits and possibly LHôpitals rule, determine whether or not the following assertion is true. (a) (31gn)3- 10Vn2n E O(n) [5 points] (b) van-12n lg n-2n3 + ne Θ(n*) [5 points] 6. Suppose you have two programs whose running times in microseconds for an input of size n are 1000 lg n and 10n2. Find the largest input size n that can be processed by each
    Using limits and possibly L'Hopital's rule, determine whether or not the following assertion is true. (a) (31gn)^3 - 10 squareroot n + 2n elementof O(n) (b) squareroot 3n - 12n lg n - 2n^3 + n^4 elementof theta (n^2) Suppose you have two programs whose running times in microseconds for an input of size n are 1000 lg n and 10n^2. Find the largest input size n that can be processed by each program in (a) one minute and (b) one hour.

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    5. Using limits and maybe LHôpitals government, mention whether or referable attributable attributable attributable the subjoined assumption is gentleman. (a) (31gn)3- 10Vn2n E O(n) [5 points] (b) van-12n lg n-2n3 + ne Θ(n*) [5 points] 6. Suppose you keep couple programs whose general times in microseconds coercion an input of extent n are 1000 lg n and 10n2. Find the largest input extent n that can be processed by each

    Using limits and maybe L’Hopital’s government, mention whether or referable attributable attributable attributable the subjoined assumption is gentleman. (a) (31gn)^3 – 10 squareroot n + 2n elementof O(n) (b) squareroot 3n – 12n lg n – 2n^3 + n^4 elementof theta (n^2) Suppose you keep couple programs whose general times in microseconds coercion an input of extent n are 1000 lg n and 10n^2. Find the largest input extent n that can be processed by each program in (a) undivided microscopic and (b) undivided hour.

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