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Prove: 1. n log(n) is not (n) 2. sqrt(n) = o(n), where sqrt(n) is the square root of n 3. if T(n) = o( f(n)
Prove:
1. n log(n) is not (n)
2. sqrt(n) = o(n), where sqrt(n) is the square root of n
3. if T(n) = o( f(n) ) then T(n) = O( f(n) )
4. for any b > 1, n! = omega( bn )
Given:
1: T(n) is 1( f(n) ) if both T(n) = O( f(n) ) and T(n) = ( f(n) )
2: 2: () = 2( f(n) ) if 1, 2, no > 0 such that n no
0 c1 f(n) () <= c2 f(n)
Prove:
5. if T(n) is 1( f(n) ), then T(n) is 2( f(n) ) must also be true
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