GATE | Gate IT 2008 | Question 10

Arrange the following functions in increasing asymptotic order:
A. n^1/3
B. eⁿ
C. n^7/4
D. n log⁹n
E. 1.0000001ⁿ(A) A, D, C, E, B (B) D, A, C, E, B (C) A, C, D, E, B (D) A, C, D, B, E
Answer:(A)
Explanation: B and E belong to exponential functions. So {B,E} {A, C, D}. B E. A {C, D}. D C Hence the correct sequence is ADCEB.
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