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Functions in terms of the big-oh notation

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Reference no: EM132109718

1. Please find the complexity of the following functions in terms of the Big-Oh notation.

(a) f(n) = 64n

(b) f(n) = 1000000

(c) f(n) = 3n 2 log n + 6n + 100000

(d) f(x) = 5x 3 + log x + 66

(e) f(n) = 10 log2 n + 2n

2. Please order the following functions by growth rate:

n, √ n, n1.5 , n2 , n log n, 3/n, n log log n, 2 n , 6, n3 .

3. Prove that 2n 2 + 3 = O(n 2).

Reference no: EM132109718

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