Question

Problem 2. (40 POINTS) Replace ? with the tightest of $o, \omega, \Theta$ that best describes the relationship between the two sides. (1) $2^{4\lg n} = ? (n^2)$. (2) $\lg (n!) = ? (n)$. (3) $2^{2\lg n} = ? (4^{\lg n})$ . (4) $2^n = ? (n\lg n)$.

          Problem 2. (40 POINTS)
Replace ? with the tightest of $o, \omega, \Theta$ that best describes the relationship between the two sides.
(1) $2^{4\lg n} = ? (n^2)$.
(2) $\lg (n!) = ? (n)$.
(3) $2^{2\lg n} = ? (4^{\lg n})$ .
(4) $2^n = ? (n\lg n)$.

Problem 2. (40 POINTS)
Replace ? with the tightest of o, ω, Θ that best describes the relationship between the two sides.
(1) 2^4 n = ? (n^2).
(2) (n!) = ? (n).
(3) 2^2 n = ? (4^ n) .
(4) 2^n = ? (n n).

Added by Vanessa S.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Darrick Lau

Step 1

For the first equation, 241g = ?n^2, we can see that as the value of n increases, the value of n^2 also increases. Show more…

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Can you help me solve this urgently? Thank you. Problem 2. (40 points) Replace ? with the tightest of o, w, or O that best describes the relationship between the two sides. (1) 241g = ?n^2. (21gn != ?n. (3221gn = ?(4g. (42n = ?(nlgn.