GATE | GATE-CS-2015 (Mock Test) | Question 10

The increasing order of following functions in terms of asymptotic complexity is:

\\ f_{1}(n) = n^{0.999999}log (n)\\ f_{2}(n) = 10000000n\\ f_{3}(n) = 1.000001^{n} f_{4}(n) = n^{2}

(A) f1(n); f4(n); f2(n); f3(n)
(B) f1(n); f2(n); f3(n); f4(n);
(C) f2(n); f1(n); f4(n); f3(n)
(D) f1(n); f2(n); f4(n); f3(n)


Answer: (D)

Explanation: Source: http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-006-introduction-to-algorithms-fall-2011/assignments/MIT6_006F11_ps1.pdf

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